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Finding the Fourth Proportional to 105,855,174,019.35, 158,782,761,029.02 and 105,855,174,019.35

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Solution

The fourth proportional to 105,855,174,019.35, 158,782,761,029.02 and 105,855,174,019.35 is: 158,782,761,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,855,174,019.35 : 158,782,761,029.02 = 105,855,174,019.35 : x
  2. Step 2: Convert to fraction form
    105,855,174,019.35/158,782,761,029.02 = 105,855,174,019.35/x
  3. Step 3: Cross multiply
    105,855,174,019.35x = 158,782,761,029.02 × 105,855,174,019.35
  4. Step 4: Simplify right side
    105,855,174,019.35x = 16,807,976,799,999,778,357,248
  5. Step 5: Solve for x
    x = 16,807,976,799,999,778,357,248/105,855,174,019.35
  6. Step 6: Final answer
    x = 158,782,761,029.02

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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.