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Finding the Fourth Proportional to 265,733,999.80, 398,600,999.70 and 197,709,551.80

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Solution

The fourth proportional to 265,733,999.80, 398,600,999.70 and 197,709,551.80 is: 296,564,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,733,999.80 : 398,600,999.70 = 197,709,551.80 : x
  2. Step 2: Convert to fraction form
    265,733,999.80/398,600,999.70 = 197,709,551.80/x
  3. Step 3: Cross multiply
    265,733,999.80x = 398,600,999.70 × 197,709,551.80
  4. Step 4: Simplify right side
    265,733,999.80x = 78,807,224,997,718,944
  5. Step 5: Solve for x
    x = 78,807,224,997,718,944/265,733,999.80
  6. Step 6: Final answer
    x = 296,564,327.70

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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.