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Finding the Fourth Proportional to 1,403,033,421.70, 1,967,471,653.10 and 1,403,033,421.70

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Solution

The fourth proportional to 1,403,033,421.70, 1,967,471,653.10 and 1,403,033,421.70 is: 1,967,471,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,033,421.70 : 1,967,471,653.10 = 1,403,033,421.70 : x
  2. Step 2: Convert to fraction form
    1,403,033,421.70/1,967,471,653.10 = 1,403,033,421.70/x
  3. Step 3: Cross multiply
    1,403,033,421.70x = 1,967,471,653.10 × 1,403,033,421.70
  4. Step 4: Simplify right side
    1,403,033,421.70x = 2,760,428,485,546,648,576
  5. Step 5: Solve for x
    x = 2,760,428,485,546,648,576/1,403,033,421.70
  6. Step 6: Final answer
    x = 1,967,471,653.10

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Double scale
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1.5x scale

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.