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Finding the Fourth Proportional to 186,656,853.90, 260,714,933.70 and 186,656,853.90

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Solution

The fourth proportional to 186,656,853.90, 260,714,933.70 and 186,656,853.90 is: 260,714,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,656,853.90 : 260,714,933.70 = 186,656,853.90 : x
  2. Step 2: Convert to fraction form
    186,656,853.90/260,714,933.70 = 186,656,853.90/x
  3. Step 3: Cross multiply
    186,656,853.90x = 260,714,933.70 × 186,656,853.90
  4. Step 4: Simplify right side
    186,656,853.90x = 48,664,229,289,189,088
  5. Step 5: Solve for x
    x = 48,664,229,289,189,088/186,656,853.90
  6. Step 6: Final answer
    x = 260,714,933.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.