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Finding the Fourth Proportional to 29,971,065.80, 42,002,007.40 and 29,971,065.80

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Solution

The fourth proportional to 29,971,065.80, 42,002,007.40 and 29,971,065.80 is: 42,002,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971,065.80 : 42,002,007.40 = 29,971,065.80 : x
  2. Step 2: Convert to fraction form
    29,971,065.80/42,002,007.40 = 29,971,065.80/x
  3. Step 3: Cross multiply
    29,971,065.80x = 42,002,007.40 × 29,971,065.80
  4. Step 4: Simplify right side
    29,971,065.80x = 1,258,844,927,517,487
  5. Step 5: Solve for x
    x = 1,258,844,927,517,487/29,971,065.80
  6. Step 6: Final answer
    x = 42,002,007.40

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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.