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Finding the Fourth Proportional to 427,065,799.60, 640,598,699.40 and 355,640,129.20

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Solution

The fourth proportional to 427,065,799.60, 640,598,699.40 and 355,640,129.20 is: 533,460,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,065,799.60 : 640,598,699.40 = 355,640,129.20 : x
  2. Step 2: Convert to fraction form
    427,065,799.60/640,598,699.40 = 355,640,129.20/x
  3. Step 3: Cross multiply
    427,065,799.60x = 640,598,699.40 × 355,640,129.20
  4. Step 4: Simplify right side
    427,065,799.60x = 227,822,604,219,967,936
  5. Step 5: Solve for x
    x = 227,822,604,219,967,936/427,065,799.60
  6. Step 6: Final answer
    x = 533,460,193.80

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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.