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Finding the Fourth Proportional to 489,831,969.60, 735,842,815.20 and 409,210,401.60

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Solution

The fourth proportional to 489,831,969.60, 735,842,815.20 and 409,210,401.60 is: 614,730,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,831,969.60 : 735,842,815.20 = 409,210,401.60 : x
  2. Step 2: Convert to fraction form
    489,831,969.60/735,842,815.20 = 409,210,401.60/x
  3. Step 3: Cross multiply
    489,831,969.60x = 735,842,815.20 × 409,210,401.60
  4. Step 4: Simplify right side
    489,831,969.60x = 301,114,533,922,466,624
  5. Step 5: Solve for x
    x = 301,114,533,922,466,624/489,831,969.60
  6. Step 6: Final answer
    x = 614,730,259.78

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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.