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Finding the Fourth Proportional to 255,648,602.80, 383,472,904.20 and 213,133,322.80

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Solution

The fourth proportional to 255,648,602.80, 383,472,904.20 and 213,133,322.80 is: 319,699,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,648,602.80 : 383,472,904.20 = 213,133,322.80 : x
  2. Step 2: Convert to fraction form
    255,648,602.80/383,472,904.20 = 213,133,322.80/x
  3. Step 3: Cross multiply
    255,648,602.80x = 383,472,904.20 × 213,133,322.80
  4. Step 4: Simplify right side
    255,648,602.80x = 81,730,854,275,912,080
  5. Step 5: Solve for x
    x = 81,730,854,275,912,080/255,648,602.80
  6. Step 6: Final answer
    x = 319,699,984.20

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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.