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Finding the Fourth Proportional to 27,888,928,678.68, 41,833,393,018.02 and 27,888,928,678.68

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Solution

The fourth proportional to 27,888,928,678.68, 41,833,393,018.02 and 27,888,928,678.68 is: 41,833,393,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888,928,678.68 : 41,833,393,018.02 = 27,888,928,678.68 : x
  2. Step 2: Convert to fraction form
    27,888,928,678.68/41,833,393,018.02 = 27,888,928,678.68/x
  3. Step 3: Cross multiply
    27,888,928,678.68x = 41,833,393,018.02 × 27,888,928,678.68
  4. Step 4: Simplify right side
    27,888,928,678.68x = 1,166,688,514,266,749,599,744
  5. Step 5: Solve for x
    x = 1,166,688,514,266,749,599,744/27,888,928,678.68
  6. Step 6: Final answer
    x = 41,833,393,018.02

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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.