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Finding the Fourth Proportional to 752,397,569.95, 1,038,247,894.35 and 434,878,384.84

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Solution

The fourth proportional to 752,397,569.95, 1,038,247,894.35 and 434,878,384.84 is: 600,097,056.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,397,569.95 : 1,038,247,894.35 = 434,878,384.84 : x
  2. Step 2: Convert to fraction form
    752,397,569.95/1,038,247,894.35 = 434,878,384.84/x
  3. Step 3: Cross multiply
    752,397,569.95x = 1,038,247,894.35 × 434,878,384.84
  4. Step 4: Simplify right side
    752,397,569.95x = 451,511,567,358,458,944
  5. Step 5: Solve for x
    x = 451,511,567,358,458,944/752,397,569.95
  6. Step 6: Final answer
    x = 600,097,056.92

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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.