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Finding the Fourth Proportional to 42,659,952,007.20, 59,577,000,002.40 and 42,659,952,007.20

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Solution

The fourth proportional to 42,659,952,007.20, 59,577,000,002.40 and 42,659,952,007.20 is: 59,577,000,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,659,952,007.20 : 59,577,000,002.40 = 42,659,952,007.20 : x
  2. Step 2: Convert to fraction form
    42,659,952,007.20/59,577,000,002.40 = 42,659,952,007.20/x
  3. Step 3: Cross multiply
    42,659,952,007.20x = 59,577,000,002.40 × 42,659,952,007.20
  4. Step 4: Simplify right side
    42,659,952,007.20x = 2,541,551,960,835,338,272,768
  5. Step 5: Solve for x
    x = 2,541,551,960,835,338,272,768/42,659,952,007.20
  6. Step 6: Final answer
    x = 59,577,000,002.40

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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.