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Finding the Fourth Proportional to 1,066,896,742.20, 1,496,880,301.80 and 1,066,896,742.20

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Solution

The fourth proportional to 1,066,896,742.20, 1,496,880,301.80 and 1,066,896,742.20 is: 1,496,880,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066,896,742.20 : 1,496,880,301.80 = 1,066,896,742.20 : x
  2. Step 2: Convert to fraction form
    1,066,896,742.20/1,496,880,301.80 = 1,066,896,742.20/x
  3. Step 3: Cross multiply
    1,066,896,742.20x = 1,496,880,301.80 × 1,066,896,742.20
  4. Step 4: Simplify right side
    1,066,896,742.20x = 1,597,016,717,453,772,800
  5. Step 5: Solve for x
    x = 1,597,016,717,453,772,800/1,066,896,742.20
  6. Step 6: Final answer
    x = 1,496,880,301.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.