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Finding the Fourth Proportional to 28,472,832,020.80, 42,709,248,031.24 and 28,472,832,020.80

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Solution

The fourth proportional to 28,472,832,020.80, 42,709,248,031.24 and 28,472,832,020.80 is: 42,709,248,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,472,832,020.80 : 42,709,248,031.24 = 28,472,832,020.80 : x
  2. Step 2: Convert to fraction form
    28,472,832,020.80/42,709,248,031.24 = 28,472,832,020.80/x
  3. Step 3: Cross multiply
    28,472,832,020.80x = 42,709,248,031.24 × 28,472,832,020.80
  4. Step 4: Simplify right side
    28,472,832,020.80x = 1,216,053,244,928,179,568,640
  5. Step 5: Solve for x
    x = 1,216,053,244,928,179,568,640/28,472,832,020.80
  6. Step 6: Final answer
    x = 42,709,248,031.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.