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Finding the Fourth Proportional to 934,846,316, 1,290,125,901.84 and 517,151,399.84

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Solution

The fourth proportional to 934,846,316, 1,290,125,901.84 and 517,151,399.84 is: 713,689,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,846,316 : 1,290,125,901.84 = 517,151,399.84 : x
  2. Step 2: Convert to fraction form
    934,846,316/1,290,125,901.84 = 517,151,399.84/x
  3. Step 3: Cross multiply
    934,846,316x = 1,290,125,901.84 × 517,151,399.84
  4. Step 4: Simplify right side
    934,846,316x = 667,190,416,106,398,336
  5. Step 5: Solve for x
    x = 667,190,416,106,398,336/934,846,316
  6. Step 6: Final answer
    x = 713,689,945.27

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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.