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Finding the Fourth Proportional to 376,510,366,177.07, 564,765,549,265.65 and 376,510,366,177.07

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Solution

The fourth proportional to 376,510,366,177.07, 564,765,549,265.65 and 376,510,366,177.07 is: 564,765,549,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,510,366,177.07 : 564,765,549,265.65 = 376,510,366,177.07 : x
  2. Step 2: Convert to fraction form
    376,510,366,177.07/564,765,549,265.65 = 376,510,366,177.07/x
  3. Step 3: Cross multiply
    376,510,366,177.07x = 564,765,549,265.65 × 376,510,366,177.07
  4. Step 4: Simplify right side
    376,510,366,177.07x = 212,640,083,758,203,950,596,096
  5. Step 5: Solve for x
    x = 212,640,083,758,203,950,596,096/376,510,366,177.07
  6. Step 6: Final answer
    x = 564,765,549,265.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.