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Finding the Fourth Proportional to 459,091,805.90, 688,637,708.85 and 459,091,805.90

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Solution

The fourth proportional to 459,091,805.90, 688,637,708.85 and 459,091,805.90 is: 688,637,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,091,805.90 : 688,637,708.85 = 459,091,805.90 : x
  2. Step 2: Convert to fraction form
    459,091,805.90/688,637,708.85 = 459,091,805.90/x
  3. Step 3: Cross multiply
    459,091,805.90x = 688,637,708.85 × 459,091,805.90
  4. Step 4: Simplify right side
    459,091,805.90x = 316,147,929,366,784,896
  5. Step 5: Solve for x
    x = 316,147,929,366,784,896/459,091,805.90
  6. Step 6: Final answer
    x = 688,637,708.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.