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Finding the Fourth Proportional to 1,196,000,001.10, 1,794,000,001.65 and 1,196,000,001.10

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Solution

The fourth proportional to 1,196,000,001.10, 1,794,000,001.65 and 1,196,000,001.10 is: 1,794,000,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,000,001.10 : 1,794,000,001.65 = 1,196,000,001.10 : x
  2. Step 2: Convert to fraction form
    1,196,000,001.10/1,794,000,001.65 = 1,196,000,001.10/x
  3. Step 3: Cross multiply
    1,196,000,001.10x = 1,794,000,001.65 × 1,196,000,001.10
  4. Step 4: Simplify right side
    1,196,000,001.10x = 2,145,624,003,946,799,872
  5. Step 5: Solve for x
    x = 2,145,624,003,946,799,872/1,196,000,001.10
  6. Step 6: Final answer
    x = 1,794,000,001.65

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Double scale
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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.