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Finding the Fourth Proportional to 211,896,471.80, 317,844,707.70 and 183,175,038.20

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Solution

The fourth proportional to 211,896,471.80, 317,844,707.70 and 183,175,038.20 is: 274,762,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,896,471.80 : 317,844,707.70 = 183,175,038.20 : x
  2. Step 2: Convert to fraction form
    211,896,471.80/317,844,707.70 = 183,175,038.20/x
  3. Step 3: Cross multiply
    211,896,471.80x = 317,844,707.70 × 183,175,038.20
  4. Step 4: Simplify right side
    211,896,471.80x = 58,221,216,474,615,328
  5. Step 5: Solve for x
    x = 58,221,216,474,615,328/211,896,471.80
  6. Step 6: Final answer
    x = 274,762,557.30

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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.