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Finding the Fourth Proportional to 769,565,968.12, 1,062,014,643.68 and 417,153,662.20

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Solution

The fourth proportional to 769,565,968.12, 1,062,014,643.68 and 417,153,662.20 is: 575,679,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,565,968.12 : 1,062,014,643.68 = 417,153,662.20 : x
  2. Step 2: Convert to fraction form
    769,565,968.12/1,062,014,643.68 = 417,153,662.20/x
  3. Step 3: Cross multiply
    769,565,968.12x = 1,062,014,643.68 × 417,153,662.20
  4. Step 4: Simplify right side
    769,565,968.12x = 443,023,297,921,140,032
  5. Step 5: Solve for x
    x = 443,023,297,921,140,032/769,565,968.12
  6. Step 6: Final answer
    x = 575,679,430.06

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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.