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Finding the Fourth Proportional to 110,382,800,257.40, 165,574,200,386.10 and 110,382,800,257.40

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Solution

The fourth proportional to 110,382,800,257.40, 165,574,200,386.10 and 110,382,800,257.40 is: 165,574,200,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,382,800,257.40 : 165,574,200,386.10 = 110,382,800,257.40 : x
  2. Step 2: Convert to fraction form
    110,382,800,257.40/165,574,200,386.10 = 110,382,800,257.40/x
  3. Step 3: Cross multiply
    110,382,800,257.40x = 165,574,200,386.10 × 110,382,800,257.40
  4. Step 4: Simplify right side
    110,382,800,257.40x = 18,276,543,888,997,597,839,360
  5. Step 5: Solve for x
    x = 18,276,543,888,997,597,839,360/110,382,800,257.40
  6. Step 6: Final answer
    x = 165,574,200,386.10

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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.