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Finding the Fourth Proportional to 102,514,896,402.15, 153,772,344,603.23 and 102,514,896,402.15

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Solution

The fourth proportional to 102,514,896,402.15, 153,772,344,603.23 and 102,514,896,402.15 is: 153,772,344,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514,896,402.15 : 153,772,344,603.23 = 102,514,896,402.15 : x
  2. Step 2: Convert to fraction form
    102,514,896,402.15/153,772,344,603.23 = 102,514,896,402.15/x
  3. Step 3: Cross multiply
    102,514,896,402.15x = 153,772,344,603.23 × 102,514,896,402.15
  4. Step 4: Simplify right side
    102,514,896,402.15x = 15,763,955,976,515,832,774,656
  5. Step 5: Solve for x
    x = 15,763,955,976,515,832,774,656/102,514,896,402.15
  6. Step 6: Final answer
    x = 153,772,344,603.23

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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.