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Finding the Fourth Proportional to 1,026,432,859.60, 1,539,649,289.40 and 1,026,432,859.60

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Solution

The fourth proportional to 1,026,432,859.60, 1,539,649,289.40 and 1,026,432,859.60 is: 1,539,649,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,432,859.60 : 1,539,649,289.40 = 1,026,432,859.60 : x
  2. Step 2: Convert to fraction form
    1,026,432,859.60/1,539,649,289.40 = 1,026,432,859.60/x
  3. Step 3: Cross multiply
    1,026,432,859.60x = 1,539,649,289.40 × 1,026,432,859.60
  4. Step 4: Simplify right side
    1,026,432,859.60x = 1,580,346,622,899,950,080
  5. Step 5: Solve for x
    x = 1,580,346,622,899,950,080/1,026,432,859.60
  6. Step 6: Final answer
    x = 1,539,649,289.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.