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Finding the Fourth Proportional to 10,959,897.20, 15,377,448.40 and 10,959,897.20

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Solution

The fourth proportional to 10,959,897.20, 15,377,448.40 and 10,959,897.20 is: 15,377,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959,897.20 : 15,377,448.40 = 10,959,897.20 : x
  2. Step 2: Convert to fraction form
    10,959,897.20/15,377,448.40 = 10,959,897.20/x
  3. Step 3: Cross multiply
    10,959,897.20x = 15,377,448.40 × 10,959,897.20
  4. Step 4: Simplify right side
    10,959,897.20x = 168,535,253,662,304.47
  5. Step 5: Solve for x
    x = 168,535,253,662,304.47/10,959,897.20
  6. Step 6: Final answer
    x = 15,377,448.40

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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.