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Finding the Fourth Proportional to 145,339,444,865.10, 218,009,167,297.65 and 145,339,444,865.10

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Solution

The fourth proportional to 145,339,444,865.10, 218,009,167,297.65 and 145,339,444,865.10 is: 218,009,167,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,339,444,865.10 : 218,009,167,297.65 = 145,339,444,865.10 : x
  2. Step 2: Convert to fraction form
    145,339,444,865.10/218,009,167,297.65 = 145,339,444,865.10/x
  3. Step 3: Cross multiply
    145,339,444,865.10x = 218,009,167,297.65 × 145,339,444,865.10
  4. Step 4: Simplify right side
    145,339,444,865.10x = 31,685,331,350,543,166,078,976
  5. Step 5: Solve for x
    x = 31,685,331,350,543,166,078,976/145,339,444,865.10
  6. Step 6: Final answer
    x = 218,009,167,297.65

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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.