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Finding the Fourth Proportional to 153,876,226,415.40, 230,814,339,623.10 and 153,876,226,415.40

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Solution

The fourth proportional to 153,876,226,415.40, 230,814,339,623.10 and 153,876,226,415.40 is: 230,814,339,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,876,226,415.40 : 230,814,339,623.10 = 153,876,226,415.40 : x
  2. Step 2: Convert to fraction form
    153,876,226,415.40/230,814,339,623.10 = 153,876,226,415.40/x
  3. Step 3: Cross multiply
    153,876,226,415.40x = 230,814,339,623.10 × 153,876,226,415.40
  4. Step 4: Simplify right side
    153,876,226,415.40x = 35,516,839,583,765,168,652,288
  5. Step 5: Solve for x
    x = 35,516,839,583,765,168,652,288/153,876,226,415.40
  6. Step 6: Final answer
    x = 230,814,339,623.10

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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.