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Finding the Fourth Proportional to 149,978,700.90, 224,921,994.75 and 52,911,708.30

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Solution

The fourth proportional to 149,978,700.90, 224,921,994.75 and 52,911,708.30 is: 79,351,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,978,700.90 : 224,921,994.75 = 52,911,708.30 : x
  2. Step 2: Convert to fraction form
    149,978,700.90/224,921,994.75 = 52,911,708.30/x
  3. Step 3: Cross multiply
    149,978,700.90x = 224,921,994.75 × 52,911,708.30
  4. Step 4: Simplify right side
    149,978,700.90x = 11,901,006,976,466,130
  5. Step 5: Solve for x
    x = 11,901,006,976,466,130/149,978,700.90
  6. Step 6: Final answer
    x = 79,351,313.92

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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.