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Finding the Fourth Proportional to 90,876,411,143.10, 136,314,616,714.65 and 90,876,411,143.10

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Solution

The fourth proportional to 90,876,411,143.10, 136,314,616,714.65 and 90,876,411,143.10 is: 136,314,616,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,876,411,143.10 : 136,314,616,714.65 = 90,876,411,143.10 : x
  2. Step 2: Convert to fraction form
    90,876,411,143.10/136,314,616,714.65 = 90,876,411,143.10/x
  3. Step 3: Cross multiply
    90,876,411,143.10x = 136,314,616,714.65 × 90,876,411,143.10
  4. Step 4: Simplify right side
    90,876,411,143.10x = 12,387,783,153,374,625,529,856
  5. Step 5: Solve for x
    x = 12,387,783,153,374,625,529,856/90,876,411,143.10
  6. Step 6: Final answer
    x = 136,314,616,714.65

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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.