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Finding the Fourth Proportional to 523,624,285.80, 785,436,428.70 and 232,182,041.40

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Solution

The fourth proportional to 523,624,285.80, 785,436,428.70 and 232,182,041.40 is: 348,273,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,624,285.80 : 785,436,428.70 = 232,182,041.40 : x
  2. Step 2: Convert to fraction form
    523,624,285.80/785,436,428.70 = 232,182,041.40/x
  3. Step 3: Cross multiply
    523,624,285.80x = 785,436,428.70 × 232,182,041.40
  4. Step 4: Simplify right side
    523,624,285.80x = 182,364,233,405,491,552
  5. Step 5: Solve for x
    x = 182,364,233,405,491,552/523,624,285.80
  6. Step 6: Final answer
    x = 348,273,062.10

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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.