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Finding the Fourth Proportional to 47,842,278.40, 71,763,417.60 and 47,842,278.40

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Solution

The fourth proportional to 47,842,278.40, 71,763,417.60 and 47,842,278.40 is: 71,763,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,842,278.40 : 71,763,417.60 = 47,842,278.40 : x
  2. Step 2: Convert to fraction form
    47,842,278.40/71,763,417.60 = 47,842,278.40/x
  3. Step 3: Cross multiply
    47,842,278.40x = 71,763,417.60 × 47,842,278.40
  4. Step 4: Simplify right side
    47,842,278.40x = 3,433,325,403,754,659.50
  5. Step 5: Solve for x
    x = 3,433,325,403,754,659.50/47,842,278.40
  6. Step 6: Final answer
    x = 71,763,417.60

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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.