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Finding the Fourth Proportional to 23,307,812,427.90, 34,961,718,641.85 and 23,307,812,427.90

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Solution

The fourth proportional to 23,307,812,427.90, 34,961,718,641.85 and 23,307,812,427.90 is: 34,961,718,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307,812,427.90 : 34,961,718,641.85 = 23,307,812,427.90 : x
  2. Step 2: Convert to fraction form
    23,307,812,427.90/34,961,718,641.85 = 23,307,812,427.90/x
  3. Step 3: Cross multiply
    23,307,812,427.90x = 34,961,718,641.85 × 23,307,812,427.90
  4. Step 4: Simplify right side
    23,307,812,427.90x = 814,881,180,261,254,561,792
  5. Step 5: Solve for x
    x = 814,881,180,261,254,561,792/23,307,812,427.90
  6. Step 6: Final answer
    x = 34,961,718,641.85

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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.