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Finding the Fourth Proportional to 778,572,022.60, 1,087,960,098.20 and 778,572,022.60

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Solution

The fourth proportional to 778,572,022.60, 1,087,960,098.20 and 778,572,022.60 is: 1,087,960,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,572,022.60 : 1,087,960,098.20 = 778,572,022.60 : x
  2. Step 2: Convert to fraction form
    778,572,022.60/1,087,960,098.20 = 778,572,022.60/x
  3. Step 3: Cross multiply
    778,572,022.60x = 1,087,960,098.20 × 778,572,022.60
  4. Step 4: Simplify right side
    778,572,022.60x = 847,055,294,163,668,736
  5. Step 5: Solve for x
    x = 847,055,294,163,668,736/778,572,022.60
  6. Step 6: Final answer
    x = 1,087,960,098.20

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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.