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Finding the Fourth Proportional to 282,335,140.20, 422,606,915.10 and 282,335,140.20

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Solution

The fourth proportional to 282,335,140.20, 422,606,915.10 and 282,335,140.20 is: 422,606,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,335,140.20 : 422,606,915.10 = 282,335,140.20 : x
  2. Step 2: Convert to fraction form
    282,335,140.20/422,606,915.10 = 282,335,140.20/x
  3. Step 3: Cross multiply
    282,335,140.20x = 422,606,915.10 × 282,335,140.20
  4. Step 4: Simplify right side
    282,335,140.20x = 119,316,782,624,248,000
  5. Step 5: Solve for x
    x = 119,316,782,624,248,000/282,335,140.20
  6. Step 6: Final answer
    x = 422,606,915.10

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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.