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Finding the Fourth Proportional to 279,938,411.40, 419,907,617.10 and 85,879,777.80

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Solution

The fourth proportional to 279,938,411.40, 419,907,617.10 and 85,879,777.80 is: 128,819,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,938,411.40 : 419,907,617.10 = 85,879,777.80 : x
  2. Step 2: Convert to fraction form
    279,938,411.40/419,907,617.10 = 85,879,777.80/x
  3. Step 3: Cross multiply
    279,938,411.40x = 419,907,617.10 × 85,879,777.80
  4. Step 4: Simplify right side
    279,938,411.40x = 36,061,572,853,075,480
  5. Step 5: Solve for x
    x = 36,061,572,853,075,480/279,938,411.40
  6. Step 6: Final answer
    x = 128,819,666.70

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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.