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Finding the Fourth Proportional to 489,901,497.90, 734,852,246.85 and 217,803,705.90

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Solution

The fourth proportional to 489,901,497.90, 734,852,246.85 and 217,803,705.90 is: 326,705,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,901,497.90 : 734,852,246.85 = 217,803,705.90 : x
  2. Step 2: Convert to fraction form
    489,901,497.90/734,852,246.85 = 217,803,705.90/x
  3. Step 3: Cross multiply
    489,901,497.90x = 734,852,246.85 × 217,803,705.90
  4. Step 4: Simplify right side
    489,901,497.90x = 160,053,542,652,871,616
  5. Step 5: Solve for x
    x = 160,053,542,652,871,616/489,901,497.90
  6. Step 6: Final answer
    x = 326,705,558.85

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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.