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Finding the Fourth Proportional to 413,688,801.80, 620,533,202.70 and 241,360,200.20

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Solution

The fourth proportional to 413,688,801.80, 620,533,202.70 and 241,360,200.20 is: 362,040,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,688,801.80 : 620,533,202.70 = 241,360,200.20 : x
  2. Step 2: Convert to fraction form
    413,688,801.80/620,533,202.70 = 241,360,200.20/x
  3. Step 3: Cross multiply
    413,688,801.80x = 620,533,202.70 × 241,360,200.20
  4. Step 4: Simplify right side
    413,688,801.80x = 149,772,018,034,419,200
  5. Step 5: Solve for x
    x = 149,772,018,034,419,200/413,688,801.80
  6. Step 6: Final answer
    x = 362,040,300.30

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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.