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Finding the Fourth Proportional to 549,376,807.60, 824,065,211.40 and 403,017,956.20

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Solution

The fourth proportional to 549,376,807.60, 824,065,211.40 and 403,017,956.20 is: 604,526,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,376,807.60 : 824,065,211.40 = 403,017,956.20 : x
  2. Step 2: Convert to fraction form
    549,376,807.60/824,065,211.40 = 403,017,956.20/x
  3. Step 3: Cross multiply
    549,376,807.60x = 824,065,211.40 × 403,017,956.20
  4. Step 4: Simplify right side
    549,376,807.60x = 332,113,077,273,948,928
  5. Step 5: Solve for x
    x = 332,113,077,273,948,928/549,376,807.60
  6. Step 6: Final answer
    x = 604,526,934.30

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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.