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Finding the Fourth Proportional to 497,922,209.20, 698,111,459.60 and 497,922,209.20

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Solution

The fourth proportional to 497,922,209.20, 698,111,459.60 and 497,922,209.20 is: 698,111,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,922,209.20 : 698,111,459.60 = 497,922,209.20 : x
  2. Step 2: Convert to fraction form
    497,922,209.20/698,111,459.60 = 497,922,209.20/x
  3. Step 3: Cross multiply
    497,922,209.20x = 698,111,459.60 × 497,922,209.20
  4. Step 4: Simplify right side
    497,922,209.20x = 347,605,200,231,868,544
  5. Step 5: Solve for x
    x = 347,605,200,231,868,544/497,922,209.20
  6. Step 6: Final answer
    x = 698,111,459.60

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