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Finding the Fourth Proportional to 1,300,607,729.30, 1,794,840,443.82 and 705,892,222.80

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Solution

The fourth proportional to 1,300,607,729.30, 1,794,840,443.82 and 705,892,222.80 is: 974,132,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,607,729.30 : 1,794,840,443.82 = 705,892,222.80 : x
  2. Step 2: Convert to fraction form
    1,300,607,729.30/1,794,840,443.82 = 705,892,222.80/x
  3. Step 3: Cross multiply
    1,300,607,729.30x = 1,794,840,443.82 × 705,892,222.80
  4. Step 4: Simplify right side
    1,300,607,729.30x = 1,266,963,910,459,438,080
  5. Step 5: Solve for x
    x = 1,266,963,910,459,438,080/1,300,607,729.30
  6. Step 6: Final answer
    x = 974,132,232.12

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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.