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Finding the Fourth Proportional to 160,310,106,698.70, 240,465,160,048.05 and 160,310,106,698.70

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Solution

The fourth proportional to 160,310,106,698.70, 240,465,160,048.05 and 160,310,106,698.70 is: 240,465,160,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,310,106,698.70 : 240,465,160,048.05 = 160,310,106,698.70 : x
  2. Step 2: Convert to fraction form
    160,310,106,698.70/240,465,160,048.05 = 160,310,106,698.70/x
  3. Step 3: Cross multiply
    160,310,106,698.70x = 240,465,160,048.05 × 160,310,106,698.70
  4. Step 4: Simplify right side
    160,310,106,698.70x = 38,548,995,464,622,870,888,448
  5. Step 5: Solve for x
    x = 38,548,995,464,622,870,888,448/160,310,106,698.70
  6. Step 6: Final answer
    x = 240,465,160,048.05

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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.