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Finding the Fourth Proportional to 46,609,402,502.80, 69,914,103,754.20 and 46,609,402,502.80

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Solution

The fourth proportional to 46,609,402,502.80, 69,914,103,754.20 and 46,609,402,502.80 is: 69,914,103,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,609,402,502.80 : 69,914,103,754.20 = 46,609,402,502.80 : x
  2. Step 2: Convert to fraction form
    46,609,402,502.80/69,914,103,754.20 = 46,609,402,502.80/x
  3. Step 3: Cross multiply
    46,609,402,502.80x = 69,914,103,754.20 × 46,609,402,502.80
  4. Step 4: Simplify right side
    46,609,402,502.80x = 3,258,654,602,502,028,656,640
  5. Step 5: Solve for x
    x = 3,258,654,602,502,028,656,640/46,609,402,502.80
  6. Step 6: Final answer
    x = 69,914,103,754.20

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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.