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Finding the Fourth Proportional to 27,027,551,490.15, 40,541,327,235.23 and 27,027,551,490.15

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Solution

The fourth proportional to 27,027,551,490.15, 40,541,327,235.23 and 27,027,551,490.15 is: 40,541,327,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027,551,490.15 : 40,541,327,235.23 = 27,027,551,490.15 : x
  2. Step 2: Convert to fraction form
    27,027,551,490.15/40,541,327,235.23 = 27,027,551,490.15/x
  3. Step 3: Cross multiply
    27,027,551,490.15x = 40,541,327,235.23 × 27,027,551,490.15
  4. Step 4: Simplify right side
    27,027,551,490.15x = 1,095,732,809,329,064,280,064
  5. Step 5: Solve for x
    x = 1,095,732,809,329,064,280,064/27,027,551,490.15
  6. Step 6: Final answer
    x = 40,541,327,235.23

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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.