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Finding the Fourth Proportional to 506,822,697.76, 699,415,328.88 and 275,035,689.76

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Solution

The fourth proportional to 506,822,697.76, 699,415,328.88 and 275,035,689.76 is: 379,549,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,822,697.76 : 699,415,328.88 = 275,035,689.76 : x
  2. Step 2: Convert to fraction form
    506,822,697.76/699,415,328.88 = 275,035,689.76/x
  3. Step 3: Cross multiply
    506,822,697.76x = 699,415,328.88 × 275,035,689.76
  4. Step 4: Simplify right side
    506,822,697.76x = 192,364,177,407,228,032
  5. Step 5: Solve for x
    x = 192,364,177,407,228,032/506,822,697.76
  6. Step 6: Final answer
    x = 379,549,255.11

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Why These Related Problems?

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