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Finding the Fourth Proportional to 186,835,110.90, 280,252,666.35 and 186,835,110.90

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Solution

The fourth proportional to 186,835,110.90, 280,252,666.35 and 186,835,110.90 is: 280,252,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,835,110.90 : 280,252,666.35 = 186,835,110.90 : x
  2. Step 2: Convert to fraction form
    186,835,110.90/280,252,666.35 = 186,835,110.90/x
  3. Step 3: Cross multiply
    186,835,110.90x = 280,252,666.35 × 186,835,110.90
  4. Step 4: Simplify right side
    186,835,110.90x = 52,361,037,997,522,952
  5. Step 5: Solve for x
    x = 52,361,037,997,522,952/186,835,110.90
  6. Step 6: Final answer
    x = 280,252,666.35

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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.