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Finding the Fourth Proportional to 598,767,363.60, 898,822,891.80 and 463,054,390.80

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Solution

The fourth proportional to 598,767,363.60, 898,822,891.80 and 463,054,390.80 is: 695,101,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,767,363.60 : 898,822,891.80 = 463,054,390.80 : x
  2. Step 2: Convert to fraction form
    598,767,363.60/898,822,891.80 = 463,054,390.80/x
  3. Step 3: Cross multiply
    598,767,363.60x = 898,822,891.80 × 463,054,390.80
  4. Step 4: Simplify right side
    598,767,363.60x = 416,203,886,599,543,296
  5. Step 5: Solve for x
    x = 416,203,886,599,543,296/598,767,363.60
  6. Step 6: Final answer
    x = 695,101,155.98

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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.