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Finding the Fourth Proportional to 306,935,809.40, 460,403,714.10 and 267,520,820.60

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Solution

The fourth proportional to 306,935,809.40, 460,403,714.10 and 267,520,820.60 is: 401,281,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,935,809.40 : 460,403,714.10 = 267,520,820.60 : x
  2. Step 2: Convert to fraction form
    306,935,809.40/460,403,714.10 = 267,520,820.60/x
  3. Step 3: Cross multiply
    306,935,809.40x = 460,403,714.10 × 267,520,820.60
  4. Step 4: Simplify right side
    306,935,809.40x = 123,167,579,403,319,792
  5. Step 5: Solve for x
    x = 123,167,579,403,319,792/306,935,809.40
  6. Step 6: Final answer
    x = 401,281,230.90

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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.