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Finding the Fourth Proportional to 861,840,282.60, 1,209,637,495.80 and 861,840,282.60

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Solution

The fourth proportional to 861,840,282.60, 1,209,637,495.80 and 861,840,282.60 is: 1,209,637,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,840,282.60 : 1,209,637,495.80 = 861,840,282.60 : x
  2. Step 2: Convert to fraction form
    861,840,282.60/1,209,637,495.80 = 861,840,282.60/x
  3. Step 3: Cross multiply
    861,840,282.60x = 1,209,637,495.80 × 861,840,282.60
  4. Step 4: Simplify right side
    861,840,282.60x = 1,042,514,321,223,828,352
  5. Step 5: Solve for x
    x = 1,042,514,321,223,828,352/861,840,282.60
  6. Step 6: Final answer
    x = 1,209,637,495.80

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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.