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Finding the Fourth Proportional to 891,769,801.60, 1,337,654,702.40 and 687,696,457.60

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Solution

The fourth proportional to 891,769,801.60, 1,337,654,702.40 and 687,696,457.60 is: 1,031,544,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,769,801.60 : 1,337,654,702.40 = 687,696,457.60 : x
  2. Step 2: Convert to fraction form
    891,769,801.60/1,337,654,702.40 = 687,696,457.60/x
  3. Step 3: Cross multiply
    891,769,801.60x = 1,337,654,702.40 × 687,696,457.60
  4. Step 4: Simplify right side
    891,769,801.60x = 919,900,400,332,462,336
  5. Step 5: Solve for x
    x = 919,900,400,332,462,336/891,769,801.60
  6. Step 6: Final answer
    x = 1,031,544,686.40

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Why These Related Problems?

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