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Finding the Fourth Proportional to 467,640,801.60, 701,461,202.40 and 448,829,102.40

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Solution

The fourth proportional to 467,640,801.60, 701,461,202.40 and 448,829,102.40 is: 673,243,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,640,801.60 : 701,461,202.40 = 448,829,102.40 : x
  2. Step 2: Convert to fraction form
    467,640,801.60/701,461,202.40 = 448,829,102.40/x
  3. Step 3: Cross multiply
    467,640,801.60x = 701,461,202.40 × 448,829,102.40
  4. Step 4: Simplify right side
    467,640,801.60x = 314,836,201,841,616,704
  5. Step 5: Solve for x
    x = 314,836,201,841,616,704/467,640,801.60
  6. Step 6: Final answer
    x = 673,243,653.60

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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.