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Finding the Fourth Proportional to 31,045,163,045.80, 46,567,744,568.70 and 31,045,163,045.80

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Solution

The fourth proportional to 31,045,163,045.80, 46,567,744,568.70 and 31,045,163,045.80 is: 46,567,744,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045,163,045.80 : 46,567,744,568.70 = 31,045,163,045.80 : x
  2. Step 2: Convert to fraction form
    31,045,163,045.80/46,567,744,568.70 = 31,045,163,045.80/x
  3. Step 3: Cross multiply
    31,045,163,045.80x = 46,567,744,568.70 × 31,045,163,045.80
  4. Step 4: Simplify right side
    31,045,163,045.80x = 1,445,703,222,810,458,718,208
  5. Step 5: Solve for x
    x = 1,445,703,222,810,458,718,208/31,045,163,045.80
  6. Step 6: Final answer
    x = 46,567,744,568.70

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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.