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Finding the Fourth Proportional to 552,098,276.40, 827,444,075.40 and 293,437,412.40

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Solution

The fourth proportional to 552,098,276.40, 827,444,075.40 and 293,437,412.40 is: 439,782,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,098,276.40 : 827,444,075.40 = 293,437,412.40 : x
  2. Step 2: Convert to fraction form
    552,098,276.40/827,444,075.40 = 293,437,412.40/x
  3. Step 3: Cross multiply
    552,098,276.40x = 827,444,075.40 × 293,437,412.40
  4. Step 4: Simplify right side
    552,098,276.40x = 242,803,048,391,086,464
  5. Step 5: Solve for x
    x = 242,803,048,391,086,464/552,098,276.40
  6. Step 6: Final answer
    x = 439,782,297.41

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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.