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Finding the Fourth Proportional to 313,260,273.80, 469,890,410.70 and 190,816,267.40

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Solution

The fourth proportional to 313,260,273.80, 469,890,410.70 and 190,816,267.40 is: 286,224,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,260,273.80 : 469,890,410.70 = 190,816,267.40 : x
  2. Step 2: Convert to fraction form
    313,260,273.80/469,890,410.70 = 190,816,267.40/x
  3. Step 3: Cross multiply
    313,260,273.80x = 469,890,410.70 × 190,816,267.40
  4. Step 4: Simplify right side
    313,260,273.80x = 89,662,734,256,827,024
  5. Step 5: Solve for x
    x = 89,662,734,256,827,024/313,260,273.80
  6. Step 6: Final answer
    x = 286,224,401.10

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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.