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Finding the Fourth Proportional to 310,328,409.80, 465,427,296.30 and 156,830,169.80

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Solution

The fourth proportional to 310,328,409.80, 465,427,296.30 and 156,830,169.80 is: 235,212,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,328,409.80 : 465,427,296.30 = 156,830,169.80 : x
  2. Step 2: Convert to fraction form
    310,328,409.80/465,427,296.30 = 156,830,169.80/x
  3. Step 3: Cross multiply
    310,328,409.80x = 465,427,296.30 × 156,830,169.80
  4. Step 4: Simplify right side
    310,328,409.80x = 72,993,041,908,283,920
  5. Step 5: Solve for x
    x = 72,993,041,908,283,920/310,328,409.80
  6. Step 6: Final answer
    x = 235,212,244.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.