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Finding the Fourth Proportional to 806,748,591.64, 1,113,297,938.10 and 493,459,791.88

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Solution

The fourth proportional to 806,748,591.64, 1,113,297,938.10 and 493,459,791.88 is: 680,965,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,748,591.64 : 1,113,297,938.10 = 493,459,791.88 : x
  2. Step 2: Convert to fraction form
    806,748,591.64/1,113,297,938.10 = 493,459,791.88/x
  3. Step 3: Cross multiply
    806,748,591.64x = 1,113,297,938.10 × 493,459,791.88
  4. Step 4: Simplify right side
    806,748,591.64x = 549,367,768,835,259,072
  5. Step 5: Solve for x
    x = 549,367,768,835,259,072/806,748,591.64
  6. Step 6: Final answer
    x = 680,965,265.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.