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Finding the Fourth Proportional to 255,301,852.80, 382,952,779.20 and 209,952,220.80

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Solution

The fourth proportional to 255,301,852.80, 382,952,779.20 and 209,952,220.80 is: 314,928,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,301,852.80 : 382,952,779.20 = 209,952,220.80 : x
  2. Step 2: Convert to fraction form
    255,301,852.80/382,952,779.20 = 209,952,220.80/x
  3. Step 3: Cross multiply
    255,301,852.80x = 382,952,779.20 × 209,952,220.80
  4. Step 4: Simplify right side
    255,301,852.80x = 80,401,786,454,572,048
  5. Step 5: Solve for x
    x = 80,401,786,454,572,048/255,301,852.80
  6. Step 6: Final answer
    x = 314,928,331.20

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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.