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Finding the Fourth Proportional to 12,752,414,496,688, 19,128,621,745,030 and 12,752,414,496,688

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Solution

The fourth proportional to 12,752,414,496,688, 19,128,621,745,030 and 12,752,414,496,688 is: 19,128,621,745,030

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,688 : 19,128,621,745,030 = 12,752,414,496,688 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,688/19,128,621,745,030 = 12,752,414,496,688/x
  3. Step 3: Cross multiply
    12,752,414,496,688x = 19,128,621,745,030 × 12,752,414,496,688
  4. Step 4: Simplify right side
    12,752,414,496,688x = 243,936,113,242,981,887,727,632,384
  5. Step 5: Solve for x
    x = 243,936,113,242,981,887,727,632,384/12,752,414,496,688
  6. Step 6: Final answer
    x = 19,128,621,745,030

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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.