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Finding the Fourth Proportional to 549,376,266.60, 824,064,399.90 and 403,017,415.20

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Solution

The fourth proportional to 549,376,266.60, 824,064,399.90 and 403,017,415.20 is: 604,526,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,376,266.60 : 824,064,399.90 = 403,017,415.20 : x
  2. Step 2: Convert to fraction form
    549,376,266.60/824,064,399.90 = 403,017,415.20/x
  3. Step 3: Cross multiply
    549,376,266.60x = 824,064,399.90 × 403,017,415.20
  4. Step 4: Simplify right side
    549,376,266.60x = 332,112,304,406,037,120
  5. Step 5: Solve for x
    x = 332,112,304,406,037,120/549,376,266.60
  6. Step 6: Final answer
    x = 604,526,122.80

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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.