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Finding the Fourth Proportional to 894,203,492.85, 1,234,000,877.04 and 497,717,947.17

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Solution

The fourth proportional to 894,203,492.85, 1,234,000,877.04 and 497,717,947.17 is: 686,850,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,203,492.85 : 1,234,000,877.04 = 497,717,947.17 : x
  2. Step 2: Convert to fraction form
    894,203,492.85/1,234,000,877.04 = 497,717,947.17/x
  3. Step 3: Cross multiply
    894,203,492.85x = 1,234,000,877.04 × 497,717,947.17
  4. Step 4: Simplify right side
    894,203,492.85x = 614,184,383,326,328,448
  5. Step 5: Solve for x
    x = 614,184,383,326,328,448/894,203,492.85
  6. Step 6: Final answer
    x = 686,850,798.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.