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Finding the Fourth Proportional to 517,144,991,068.65, 775,717,486,602.95 and 517,144,991,068.65

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Solution

The fourth proportional to 517,144,991,068.65, 775,717,486,602.95 and 517,144,991,068.65 is: 775,717,486,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,144,991,068.65 : 775,717,486,602.95 = 517,144,991,068.65 : x
  2. Step 2: Convert to fraction form
    517,144,991,068.65/775,717,486,602.95 = 517,144,991,068.65/x
  3. Step 3: Cross multiply
    517,144,991,068.65x = 775,717,486,602.95 × 517,144,991,068.65
  4. Step 4: Simplify right side
    517,144,991,068.65x = 401,158,412,681,078,200,336,384
  5. Step 5: Solve for x
    x = 401,158,412,681,078,200,336,384/517,144,991,068.65
  6. Step 6: Final answer
    x = 775,717,486,602.95

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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.