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Finding the Fourth Proportional to 702,243,711, 968,728,901.94 and 434,233,859.40

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Solution

The fourth proportional to 702,243,711, 968,728,901.94 and 434,233,859.40 is: 599,015,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,243,711 : 968,728,901.94 = 434,233,859.40 : x
  2. Step 2: Convert to fraction form
    702,243,711/968,728,901.94 = 434,233,859.40/x
  3. Step 3: Cross multiply
    702,243,711x = 968,728,901.94 × 434,233,859.40
  4. Step 4: Simplify right side
    702,243,711x = 420,654,889,801,730,368
  5. Step 5: Solve for x
    x = 420,654,889,801,730,368/702,243,711
  6. Step 6: Final answer
    x = 599,015,531.52

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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.