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Finding the Fourth Proportional to 824,489,904.30, 1,236,734,856.45 and 695,349,741.30

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Solution

The fourth proportional to 824,489,904.30, 1,236,734,856.45 and 695,349,741.30 is: 1,043,024,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,489,904.30 : 1,236,734,856.45 = 695,349,741.30 : x
  2. Step 2: Convert to fraction form
    824,489,904.30/1,236,734,856.45 = 695,349,741.30/x
  3. Step 3: Cross multiply
    824,489,904.30x = 1,236,734,856.45 × 695,349,741.30
  4. Step 4: Simplify right side
    824,489,904.30x = 859,963,262,489,200,128
  5. Step 5: Solve for x
    x = 859,963,262,489,200,128/824,489,904.30
  6. Step 6: Final answer
    x = 1,043,024,611.95

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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.