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Finding the Fourth Proportional to 861,840,293.60, 1,209,637,511.20 and 861,840,293.60

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Solution

The fourth proportional to 861,840,293.60, 1,209,637,511.20 and 861,840,293.60 is: 1,209,637,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,840,293.60 : 1,209,637,511.20 = 861,840,293.60 : x
  2. Step 2: Convert to fraction form
    861,840,293.60/1,209,637,511.20 = 861,840,293.60/x
  3. Step 3: Cross multiply
    861,840,293.60x = 1,209,637,511.20 × 861,840,293.60
  4. Step 4: Simplify right side
    861,840,293.60x = 1,042,514,347,802,181,376
  5. Step 5: Solve for x
    x = 1,042,514,347,802,181,376/861,840,293.60
  6. Step 6: Final answer
    x = 1,209,637,511.20

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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.