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Finding the Fourth Proportional to 640,186,497.12, 883,458,294.48 and 346,831,065.12

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Solution

The fourth proportional to 640,186,497.12, 883,458,294.48 and 346,831,065.12 is: 478,627,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,186,497.12 : 883,458,294.48 = 346,831,065.12 : x
  2. Step 2: Convert to fraction form
    640,186,497.12/883,458,294.48 = 346,831,065.12/x
  3. Step 3: Cross multiply
    640,186,497.12x = 883,458,294.48 × 346,831,065.12
  4. Step 4: Simplify right side
    640,186,497.12x = 306,410,781,263,597,056
  5. Step 5: Solve for x
    x = 306,410,781,263,597,056/640,186,497.12
  6. Step 6: Final answer
    x = 478,627,372.87

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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.