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Finding the Fourth Proportional to 594,505,336,480.95, 891,758,004,721.42 and 594,505,336,480.95

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Solution

The fourth proportional to 594,505,336,480.95, 891,758,004,721.42 and 594,505,336,480.95 is: 891,758,004,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,336,480.95 : 891,758,004,721.42 = 594,505,336,480.95 : x
  2. Step 2: Convert to fraction form
    594,505,336,480.95/891,758,004,721.42 = 594,505,336,480.95/x
  3. Step 3: Cross multiply
    594,505,336,480.95x = 891,758,004,721.42 × 594,505,336,480.95
  4. Step 4: Simplify right side
    594,505,336,480.95x = 530,154,892,656,488,350,744,576
  5. Step 5: Solve for x
    x = 530,154,892,656,488,350,744,576/594,505,336,480.95
  6. Step 6: Final answer
    x = 891,758,004,721.42

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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.