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Finding the Fourth Proportional to 194,773,187,415.15, 292,159,781,122.72 and 194,773,187,415.15

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Solution

The fourth proportional to 194,773,187,415.15, 292,159,781,122.72 and 194,773,187,415.15 is: 292,159,781,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,773,187,415.15 : 292,159,781,122.72 = 194,773,187,415.15 : x
  2. Step 2: Convert to fraction form
    194,773,187,415.15/292,159,781,122.72 = 194,773,187,415.15/x
  3. Step 3: Cross multiply
    194,773,187,415.15x = 292,159,781,122.72 × 194,773,187,415.15
  4. Step 4: Simplify right side
    194,773,187,415.15x = 56,904,891,803,784,741,650,432
  5. Step 5: Solve for x
    x = 56,904,891,803,784,741,650,432/194,773,187,415.15
  6. Step 6: Final answer
    x = 292,159,781,122.72

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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.