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Finding the Fourth Proportional to 1,147,726,468.07, 1,584,351,241.01 and 771,601,194.71

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Solution

The fourth proportional to 1,147,726,468.07, 1,584,351,241.01 and 771,601,194.71 is: 1,065,138,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,726,468.07 : 1,584,351,241.01 = 771,601,194.71 : x
  2. Step 2: Convert to fraction form
    1,147,726,468.07/1,584,351,241.01 = 771,601,194.71/x
  3. Step 3: Cross multiply
    1,147,726,468.07x = 1,584,351,241.01 × 771,601,194.71
  4. Step 4: Simplify right side
    1,147,726,468.07x = 1,222,487,310,400,760,064
  5. Step 5: Solve for x
    x = 1,222,487,310,400,760,064/1,147,726,468.07
  6. Step 6: Final answer
    x = 1,065,138,205.32

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Double scale
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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.