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Finding the Fourth Proportional to 556,080,597.60, 834,120,896.40 and 147,178,082.40

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Solution

The fourth proportional to 556,080,597.60, 834,120,896.40 and 147,178,082.40 is: 220,767,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,080,597.60 : 834,120,896.40 = 147,178,082.40 : x
  2. Step 2: Convert to fraction form
    556,080,597.60/834,120,896.40 = 147,178,082.40/x
  3. Step 3: Cross multiply
    556,080,597.60x = 834,120,896.40 × 147,178,082.40
  4. Step 4: Simplify right side
    556,080,597.60x = 122,764,314,021,921,072
  5. Step 5: Solve for x
    x = 122,764,314,021,921,072/556,080,597.60
  6. Step 6: Final answer
    x = 220,767,123.60

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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.