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Finding the Fourth Proportional to 684,052,808.06, 943,967,585.10 and 370,780,295.98

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Solution

The fourth proportional to 684,052,808.06, 943,967,585.10 and 370,780,295.98 is: 511,663,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,052,808.06 : 943,967,585.10 = 370,780,295.98 : x
  2. Step 2: Convert to fraction form
    684,052,808.06/943,967,585.10 = 370,780,295.98/x
  3. Step 3: Cross multiply
    684,052,808.06x = 943,967,585.10 × 370,780,295.98
  4. Step 4: Simplify right side
    684,052,808.06x = 350,004,580,598,903,872
  5. Step 5: Solve for x
    x = 350,004,580,598,903,872/684,052,808.06
  6. Step 6: Final answer
    x = 511,663,100.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.