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Finding the Fourth Proportional to 599,136,231.40, 898,704,347.10 and 599,136,231.40

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Solution

The fourth proportional to 599,136,231.40, 898,704,347.10 and 599,136,231.40 is: 898,704,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,136,231.40 : 898,704,347.10 = 599,136,231.40 : x
  2. Step 2: Convert to fraction form
    599,136,231.40/898,704,347.10 = 599,136,231.40/x
  3. Step 3: Cross multiply
    599,136,231.40x = 898,704,347.10 × 599,136,231.40
  4. Step 4: Simplify right side
    599,136,231.40x = 538,446,335,664,291,520
  5. Step 5: Solve for x
    x = 538,446,335,664,291,520/599,136,231.40
  6. Step 6: Final answer
    x = 898,704,347.10

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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.