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Finding the Fourth Proportional to 376,510,366,177.57, 564,765,549,266.40 and 376,510,366,177.57

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Solution

The fourth proportional to 376,510,366,177.57, 564,765,549,266.40 and 376,510,366,177.57 is: 564,765,549,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,510,366,177.57 : 564,765,549,266.40 = 376,510,366,177.57 : x
  2. Step 2: Convert to fraction form
    376,510,366,177.57/564,765,549,266.40 = 376,510,366,177.57/x
  3. Step 3: Cross multiply
    376,510,366,177.57x = 564,765,549,266.40 × 376,510,366,177.57
  4. Step 4: Simplify right side
    376,510,366,177.57x = 212,640,083,758,768,738,795,520
  5. Step 5: Solve for x
    x = 212,640,083,758,768,738,795,520/376,510,366,177.57
  6. Step 6: Final answer
    x = 564,765,549,266.40

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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.