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Finding the Fourth Proportional to 549,602,016.80, 824,403,025.20 and 186,096,372.80

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Solution

The fourth proportional to 549,602,016.80, 824,403,025.20 and 186,096,372.80 is: 279,144,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,602,016.80 : 824,403,025.20 = 186,096,372.80 : x
  2. Step 2: Convert to fraction form
    549,602,016.80/824,403,025.20 = 186,096,372.80/x
  3. Step 3: Cross multiply
    549,602,016.80x = 824,403,025.20 × 186,096,372.80
  4. Step 4: Simplify right side
    549,602,016.80x = 153,418,412,715,067,008
  5. Step 5: Solve for x
    x = 153,418,412,715,067,008/549,602,016.80
  6. Step 6: Final answer
    x = 279,144,559.20

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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.