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Finding the Fourth Proportional to 497,780,350.40, 695,280,059.20 and 497,780,350.40

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Solution

The fourth proportional to 497,780,350.40, 695,280,059.20 and 497,780,350.40 is: 695,280,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,780,350.40 : 695,280,059.20 = 497,780,350.40 : x
  2. Step 2: Convert to fraction form
    497,780,350.40/695,280,059.20 = 497,780,350.40/x
  3. Step 3: Cross multiply
    497,780,350.40x = 695,280,059.20 × 497,780,350.40
  4. Step 4: Simplify right side
    497,780,350.40x = 346,096,751,494,708,736
  5. Step 5: Solve for x
    x = 346,096,751,494,708,736/497,780,350.40
  6. Step 6: Final answer
    x = 695,280,059.20

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1.5x scale

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.