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Finding the Fourth Proportional to 1,063,149,169.40, 1,484,780,866.60 and 1,063,149,169.40

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Solution

The fourth proportional to 1,063,149,169.40, 1,484,780,866.60 and 1,063,149,169.40 is: 1,484,780,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063,149,169.40 : 1,484,780,866.60 = 1,063,149,169.40 : x
  2. Step 2: Convert to fraction form
    1,063,149,169.40/1,484,780,866.60 = 1,063,149,169.40/x
  3. Step 3: Cross multiply
    1,063,149,169.40x = 1,484,780,866.60 × 1,063,149,169.40
  4. Step 4: Simplify right side
    1,063,149,169.40x = 1,578,543,545,066,802,176
  5. Step 5: Solve for x
    x = 1,578,543,545,066,802,176/1,063,149,169.40
  6. Step 6: Final answer
    x = 1,484,780,866.60

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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.