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Finding the Fourth Proportional to 601,151,715.60, 901,727,573.40 and 601,151,715.60

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Solution

The fourth proportional to 601,151,715.60, 901,727,573.40 and 601,151,715.60 is: 901,727,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,151,715.60 : 901,727,573.40 = 601,151,715.60 : x
  2. Step 2: Convert to fraction form
    601,151,715.60/901,727,573.40 = 601,151,715.60/x
  3. Step 3: Cross multiply
    601,151,715.60x = 901,727,573.40 × 601,151,715.60
  4. Step 4: Simplify right side
    601,151,715.60x = 542,075,077,753,234,944
  5. Step 5: Solve for x
    x = 542,075,077,753,234,944/601,151,715.60
  6. Step 6: Final answer
    x = 901,727,573.40

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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.