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Finding the Fourth Proportional to 61,046,834,915.10, 91,570,252,372.65 and 61,046,834,915.10

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Solution

The fourth proportional to 61,046,834,915.10, 91,570,252,372.65 and 61,046,834,915.10 is: 91,570,252,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,046,834,915.10 : 91,570,252,372.65 = 61,046,834,915.10 : x
  2. Step 2: Convert to fraction form
    61,046,834,915.10/91,570,252,372.65 = 61,046,834,915.10/x
  3. Step 3: Cross multiply
    61,046,834,915.10x = 91,570,252,372.65 × 61,046,834,915.10
  4. Step 4: Simplify right side
    61,046,834,915.10x = 5,590,074,079,727,207,841,792
  5. Step 5: Solve for x
    x = 5,590,074,079,727,207,841,792/61,046,834,915.10
  6. Step 6: Final answer
    x = 91,570,252,372.65

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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.