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Finding the Fourth Proportional to 383,972,798.40, 575,959,197.60 and 307,445,294.40

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Solution

The fourth proportional to 383,972,798.40, 575,959,197.60 and 307,445,294.40 is: 461,167,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,972,798.40 : 575,959,197.60 = 307,445,294.40 : x
  2. Step 2: Convert to fraction form
    383,972,798.40/575,959,197.60 = 307,445,294.40/x
  3. Step 3: Cross multiply
    383,972,798.40x = 575,959,197.60 × 307,445,294.40
  4. Step 4: Simplify right side
    383,972,798.40x = 177,075,945,068,519,776
  5. Step 5: Solve for x
    x = 177,075,945,068,519,776/383,972,798.40
  6. Step 6: Final answer
    x = 461,167,941.60

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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.