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Finding the Fourth Proportional to 770,348,151.14, 1,063,082,509.14 and 417,924,141.86

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Solution

The fourth proportional to 770,348,151.14, 1,063,082,509.14 and 417,924,141.86 is: 576,736,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,348,151.14 : 1,063,082,509.14 = 417,924,141.86 : x
  2. Step 2: Convert to fraction form
    770,348,151.14/1,063,082,509.14 = 417,924,141.86/x
  3. Step 3: Cross multiply
    770,348,151.14x = 1,063,082,509.14 × 417,924,141.86
  4. Step 4: Simplify right side
    770,348,151.14x = 444,287,845,358,710,144
  5. Step 5: Solve for x
    x = 444,287,845,358,710,144/770,348,151.14
  6. Step 6: Final answer
    x = 576,736,433.65

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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.