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Finding the Fourth Proportional to 489,894,842.70, 734,842,264.05 and 489,894,842.70

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Solution

The fourth proportional to 489,894,842.70, 734,842,264.05 and 489,894,842.70 is: 734,842,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,894,842.70 : 734,842,264.05 = 489,894,842.70 : x
  2. Step 2: Convert to fraction form
    489,894,842.70/734,842,264.05 = 489,894,842.70/x
  3. Step 3: Cross multiply
    489,894,842.70x = 734,842,264.05 × 489,894,842.70
  4. Step 4: Simplify right side
    489,894,842.70x = 359,995,435,356,086,592
  5. Step 5: Solve for x
    x = 359,995,435,356,086,592/489,894,842.70
  6. Step 6: Final answer
    x = 734,842,264.05

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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.