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Finding the Fourth Proportional to 890,534,602.32, 1,228,799,159.96 and 509,051,191.20

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Solution

The fourth proportional to 890,534,602.32, 1,228,799,159.96 and 509,051,191.20 is: 702,411,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,534,602.32 : 1,228,799,159.96 = 509,051,191.20 : x
  2. Step 2: Convert to fraction form
    890,534,602.32/1,228,799,159.96 = 509,051,191.20/x
  3. Step 3: Cross multiply
    890,534,602.32x = 1,228,799,159.96 × 509,051,191.20
  4. Step 4: Simplify right side
    890,534,602.32x = 625,521,676,123,197,312
  5. Step 5: Solve for x
    x = 625,521,676,123,197,312/890,534,602.32
  6. Step 6: Final answer
    x = 702,411,421.74

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