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Finding the Fourth Proportional to 27,244,224,083.10, 40,866,336,124.65 and 27,244,224,083.10

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Solution

The fourth proportional to 27,244,224,083.10, 40,866,336,124.65 and 27,244,224,083.10 is: 40,866,336,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,244,224,083.10 : 40,866,336,124.65 = 27,244,224,083.10 : x
  2. Step 2: Convert to fraction form
    27,244,224,083.10/40,866,336,124.65 = 27,244,224,083.10/x
  3. Step 3: Cross multiply
    27,244,224,083.10x = 40,866,336,124.65 × 27,244,224,083.10
  4. Step 4: Simplify right side
    27,244,224,083.10x = 1,113,371,618,835,248,971,776
  5. Step 5: Solve for x
    x = 1,113,371,618,835,248,971,776/27,244,224,083.10
  6. Step 6: Final answer
    x = 40,866,336,124.65

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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.