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Finding the Fourth Proportional to 549,659,936.70, 824,489,905.05 and 463,566,494.70

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Solution

The fourth proportional to 549,659,936.70, 824,489,905.05 and 463,566,494.70 is: 695,349,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,659,936.70 : 824,489,905.05 = 463,566,494.70 : x
  2. Step 2: Convert to fraction form
    549,659,936.70/824,489,905.05 = 463,566,494.70/x
  3. Step 3: Cross multiply
    549,659,936.70x = 824,489,905.05 × 463,566,494.70
  4. Step 4: Simplify right side
    549,659,936.70x = 382,205,895,199,564,288
  5. Step 5: Solve for x
    x = 382,205,895,199,564,288/549,659,936.70
  6. Step 6: Final answer
    x = 695,349,742.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.