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Finding the Fourth Proportional to 625,911,808.80, 878,090,517.60 and 625,911,808.80

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Solution

The fourth proportional to 625,911,808.80, 878,090,517.60 and 625,911,808.80 is: 878,090,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,911,808.80 : 878,090,517.60 = 625,911,808.80 : x
  2. Step 2: Convert to fraction form
    625,911,808.80/878,090,517.60 = 625,911,808.80/x
  3. Step 3: Cross multiply
    625,911,808.80x = 878,090,517.60 × 625,911,808.80
  4. Step 4: Simplify right side
    625,911,808.80x = 549,607,224,161,144,192
  5. Step 5: Solve for x
    x = 549,607,224,161,144,192/625,911,808.80
  6. Step 6: Final answer
    x = 878,090,517.60

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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.