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Finding the Fourth Proportional to 873,254,404.60, 1,309,881,606.90 and 801,828,734.20

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Solution

The fourth proportional to 873,254,404.60, 1,309,881,606.90 and 801,828,734.20 is: 1,202,743,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,254,404.60 : 1,309,881,606.90 = 801,828,734.20 : x
  2. Step 2: Convert to fraction form
    873,254,404.60/1,309,881,606.90 = 801,828,734.20/x
  3. Step 3: Cross multiply
    873,254,404.60x = 1,309,881,606.90 × 801,828,734.20
  4. Step 4: Simplify right side
    873,254,404.60x = 1,050,300,710,812,489,088
  5. Step 5: Solve for x
    x = 1,050,300,710,812,489,088/873,254,404.60
  6. Step 6: Final answer
    x = 1,202,743,101.30

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Why These Related Problems?

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