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Finding the Fourth Proportional to 601,151,803.20, 900,292,814.10 and 601,151,803.20

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Solution

The fourth proportional to 601,151,803.20, 900,292,814.10 and 601,151,803.20 is: 900,292,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,151,803.20 : 900,292,814.10 = 601,151,803.20 : x
  2. Step 2: Convert to fraction form
    601,151,803.20/900,292,814.10 = 601,151,803.20/x
  3. Step 3: Cross multiply
    601,151,803.20x = 900,292,814.10 × 601,151,803.20
  4. Step 4: Simplify right side
    601,151,803.20x = 541,212,648,604,217,472
  5. Step 5: Solve for x
    x = 541,212,648,604,217,472/601,151,803.20
  6. Step 6: Final answer
    x = 900,292,814.10

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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.