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Finding the Fourth Proportional to 598,896,064.80, 898,344,097.20 and 598,896,064.80

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Solution

The fourth proportional to 598,896,064.80, 898,344,097.20 and 598,896,064.80 is: 898,344,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,896,064.80 : 898,344,097.20 = 598,896,064.80 : x
  2. Step 2: Convert to fraction form
    598,896,064.80/898,344,097.20 = 598,896,064.80/x
  3. Step 3: Cross multiply
    598,896,064.80x = 898,344,097.20 × 598,896,064.80
  4. Step 4: Simplify right side
    598,896,064.80x = 538,014,744,649,388,672
  5. Step 5: Solve for x
    x = 538,014,744,649,388,672/598,896,064.80
  6. Step 6: Final answer
    x = 898,344,097.20

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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.