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Finding the Fourth Proportional to 27,108,688,499.90, 40,663,032,749.85 and 27,108,688,499.90

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Solution

The fourth proportional to 27,108,688,499.90, 40,663,032,749.85 and 27,108,688,499.90 is: 40,663,032,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108,688,499.90 : 40,663,032,749.85 = 27,108,688,499.90 : x
  2. Step 2: Convert to fraction form
    27,108,688,499.90/40,663,032,749.85 = 27,108,688,499.90/x
  3. Step 3: Cross multiply
    27,108,688,499.90x = 40,663,032,749.85 × 27,108,688,499.90
  4. Step 4: Simplify right side
    27,108,688,499.90x = 1,102,321,488,276,915,748,864
  5. Step 5: Solve for x
    x = 1,102,321,488,276,915,748,864/27,108,688,499.90
  6. Step 6: Final answer
    x = 40,663,032,749.85

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1.5x scale

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.