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Finding the Fourth Proportional to 596,775,440,015.80, 895,163,160,023.70 and 596,775,440,015.80

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Solution

The fourth proportional to 596,775,440,015.80, 895,163,160,023.70 and 596,775,440,015.80 is: 895,163,160,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,775,440,015.80 : 895,163,160,023.70 = 596,775,440,015.80 : x
  2. Step 2: Convert to fraction form
    596,775,440,015.80/895,163,160,023.70 = 596,775,440,015.80/x
  3. Step 3: Cross multiply
    596,775,440,015.80x = 895,163,160,023.70 × 596,775,440,015.80
  4. Step 4: Simplify right side
    596,775,440,015.80x = 534,211,388,709,077,591,785,472
  5. Step 5: Solve for x
    x = 534,211,388,709,077,591,785,472/596,775,440,015.80
  6. Step 6: Final answer
    x = 895,163,160,023.70

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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.