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Finding the Fourth Proportional to 354,233,736,000.65, 531,350,604,001 and 354,233,736,000.65

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Solution

The fourth proportional to 354,233,736,000.65, 531,350,604,001 and 354,233,736,000.65 is: 531,350,604,001

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,233,736,000.65 : 531,350,604,001 = 354,233,736,000.65 : x
  2. Step 2: Convert to fraction form
    354,233,736,000.65/531,350,604,001 = 354,233,736,000.65/x
  3. Step 3: Cross multiply
    354,233,736,000.65x = 531,350,604,001 × 354,233,736,000.65
  4. Step 4: Simplify right side
    354,233,736,000.65x = 188,222,309,581,476,163,747,840
  5. Step 5: Solve for x
    x = 188,222,309,581,476,163,747,840/354,233,736,000.65
  6. Step 6: Final answer
    x = 531,350,604,001

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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.