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Finding the Fourth Proportional to 656,169,509.80, 984,254,264.70 and 606,284,914.60

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Solution

The fourth proportional to 656,169,509.80, 984,254,264.70 and 606,284,914.60 is: 909,427,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,169,509.80 : 984,254,264.70 = 606,284,914.60 : x
  2. Step 2: Convert to fraction form
    656,169,509.80/984,254,264.70 = 606,284,914.60/x
  3. Step 3: Cross multiply
    656,169,509.80x = 984,254,264.70 × 606,284,914.60
  4. Step 4: Simplify right side
    656,169,509.80x = 596,738,512,818,325,376
  5. Step 5: Solve for x
    x = 596,738,512,818,325,376/656,169,509.80
  6. Step 6: Final answer
    x = 909,427,371.90

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Why These Related Problems?

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