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Finding the Fourth Proportional to 497,780,456.40, 695,280,207.60 and 497,780,456.40

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Solution

The fourth proportional to 497,780,456.40, 695,280,207.60 and 497,780,456.40 is: 695,280,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,780,456.40 : 695,280,207.60 = 497,780,456.40 : x
  2. Step 2: Convert to fraction form
    497,780,456.40/695,280,207.60 = 497,780,456.40/x
  3. Step 3: Cross multiply
    497,780,456.40x = 695,280,207.60 × 497,780,456.40
  4. Step 4: Simplify right side
    497,780,456.40x = 346,096,899,065,014,720
  5. Step 5: Solve for x
    x = 346,096,899,065,014,720/497,780,456.40
  6. Step 6: Final answer
    x = 695,280,207.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.