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Finding the Fourth Proportional to 1,300,607,728.05, 1,794,840,442.08 and 705,892,221.54

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Solution

The fourth proportional to 1,300,607,728.05, 1,794,840,442.08 and 705,892,221.54 is: 974,132,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,607,728.05 : 1,794,840,442.08 = 705,892,221.54 : x
  2. Step 2: Convert to fraction form
    1,300,607,728.05/1,794,840,442.08 = 705,892,221.54/x
  3. Step 3: Cross multiply
    1,300,607,728.05x = 1,794,840,442.08 × 705,892,221.54
  4. Step 4: Simplify right side
    1,300,607,728.05x = 1,266,963,906,969,686,784
  5. Step 5: Solve for x
    x = 1,266,963,906,969,686,784/1,300,607,728.05
  6. Step 6: Final answer
    x = 974,132,230.38

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Half scale
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Double scale
Find fourth proportional to 1,300,607,729.05, 1,794,840,443.46 and 705,892,222.54
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.