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Finding the Fourth Proportional to 891,769,552.10, 1,337,654,328.15 and 687,696,208.10

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Solution

The fourth proportional to 891,769,552.10, 1,337,654,328.15 and 687,696,208.10 is: 1,031,544,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,769,552.10 : 1,337,654,328.15 = 687,696,208.10 : x
  2. Step 2: Convert to fraction form
    891,769,552.10/1,337,654,328.15 = 687,696,208.10/x
  3. Step 3: Cross multiply
    891,769,552.10x = 1,337,654,328.15 × 687,696,208.10
  4. Step 4: Simplify right side
    891,769,552.10x = 919,899,809,217,308,160
  5. Step 5: Solve for x
    x = 919,899,809,217,308,160/891,769,552.10
  6. Step 6: Final answer
    x = 1,031,544,312.15

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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.