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Finding the Fourth Proportional to 549,018,843.90, 823,528,265.85 and 185,507,951.10

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Solution

The fourth proportional to 549,018,843.90, 823,528,265.85 and 185,507,951.10 is: 278,261,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,018,843.90 : 823,528,265.85 = 185,507,951.10 : x
  2. Step 2: Convert to fraction form
    549,018,843.90/823,528,265.85 = 185,507,951.10/x
  3. Step 3: Cross multiply
    549,018,843.90x = 823,528,265.85 × 185,507,951.10
  4. Step 4: Simplify right side
    549,018,843.90x = 152,771,041,270,769,600
  5. Step 5: Solve for x
    x = 152,771,041,270,769,600/549,018,843.90
  6. Step 6: Final answer
    x = 278,261,926.65

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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.