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Finding the Fourth Proportional to 521,565,965.80, 782,348,948.70 and 521,565,965.80

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Solution

The fourth proportional to 521,565,965.80, 782,348,948.70 and 521,565,965.80 is: 782,348,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,565,965.80 : 782,348,948.70 = 521,565,965.80 : x
  2. Step 2: Convert to fraction form
    521,565,965.80/782,348,948.70 = 521,565,965.80/x
  3. Step 3: Cross multiply
    521,565,965.80x = 782,348,948.70 × 521,565,965.80
  4. Step 4: Simplify right side
    521,565,965.80x = 408,046,585,021,330,176
  5. Step 5: Solve for x
    x = 408,046,585,021,330,176/521,565,965.80
  6. Step 6: Final answer
    x = 782,348,948.70

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