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Finding the Fourth Proportional to 290,653,480,458.30, 435,980,220,687.45 and 290,653,480,458.30

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Solution

The fourth proportional to 290,653,480,458.30, 435,980,220,687.45 and 290,653,480,458.30 is: 435,980,220,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,653,480,458.30 : 435,980,220,687.45 = 290,653,480,458.30 : x
  2. Step 2: Convert to fraction form
    290,653,480,458.30/435,980,220,687.45 = 290,653,480,458.30/x
  3. Step 3: Cross multiply
    290,653,480,458.30x = 435,980,220,687.45 × 290,653,480,458.30
  4. Step 4: Simplify right side
    290,653,480,458.30x = 126,719,168,553,785,065,734,144
  5. Step 5: Solve for x
    x = 126,719,168,553,785,065,734,144/290,653,480,458.30
  6. Step 6: Final answer
    x = 435,980,220,687.45

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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.