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Finding the Fourth Proportional to 517,446,288,045.70, 776,169,432,068.55 and 517,446,288,045.70

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Solution

The fourth proportional to 517,446,288,045.70, 776,169,432,068.55 and 517,446,288,045.70 is: 776,169,432,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,446,288,045.70 : 776,169,432,068.55 = 517,446,288,045.70 : x
  2. Step 2: Convert to fraction form
    517,446,288,045.70/776,169,432,068.55 = 517,446,288,045.70/x
  3. Step 3: Cross multiply
    517,446,288,045.70x = 776,169,432,068.55 × 517,446,288,045.70
  4. Step 4: Simplify right side
    517,446,288,045.70x = 401,625,991,518,410,334,273,536
  5. Step 5: Solve for x
    x = 401,625,991,518,410,334,273,536/517,446,288,045.70
  6. Step 6: Final answer
    x = 776,169,432,068.55

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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.