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Finding the Fourth Proportional to 161,703,856,002.45, 242,555,784,003.67 and 161,703,856,002.45

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Solution

The fourth proportional to 161,703,856,002.45, 242,555,784,003.67 and 161,703,856,002.45 is: 242,555,784,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,703,856,002.45 : 242,555,784,003.67 = 161,703,856,002.45 : x
  2. Step 2: Convert to fraction form
    161,703,856,002.45/242,555,784,003.67 = 161,703,856,002.45/x
  3. Step 3: Cross multiply
    161,703,856,002.45x = 242,555,784,003.67 × 161,703,856,002.45
  4. Step 4: Simplify right side
    161,703,856,002.45x = 39,222,205,569,090,824,699,904
  5. Step 5: Solve for x
    x = 39,222,205,569,090,824,699,904/161,703,856,002.45
  6. Step 6: Final answer
    x = 242,555,784,003.67

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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.