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Finding the Fourth Proportional to 10,174,472,379.60, 15,261,708,569.40 and 10,174,472,379.60

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Solution

The fourth proportional to 10,174,472,379.60, 15,261,708,569.40 and 10,174,472,379.60 is: 15,261,708,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174,472,379.60 : 15,261,708,569.40 = 10,174,472,379.60 : x
  2. Step 2: Convert to fraction form
    10,174,472,379.60/15,261,708,569.40 = 10,174,472,379.60/x
  3. Step 3: Cross multiply
    10,174,472,379.60x = 15,261,708,569.40 × 10,174,472,379.60
  4. Step 4: Simplify right side
    10,174,472,379.60x = 155,279,832,304,864,919,552
  5. Step 5: Solve for x
    x = 155,279,832,304,864,919,552/10,174,472,379.60
  6. Step 6: Final answer
    x = 15,261,708,569.40

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1.5x scale

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.