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Finding the Fourth Proportional to 145,295,532,078.30, 217,943,298,117.45 and 145,295,532,078.30

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Solution

The fourth proportional to 145,295,532,078.30, 217,943,298,117.45 and 145,295,532,078.30 is: 217,943,298,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,295,532,078.30 : 217,943,298,117.45 = 145,295,532,078.30 : x
  2. Step 2: Convert to fraction form
    145,295,532,078.30/217,943,298,117.45 = 145,295,532,078.30/x
  3. Step 3: Cross multiply
    145,295,532,078.30x = 217,943,298,117.45 × 145,295,532,078.30
  4. Step 4: Simplify right side
    145,295,532,078.30x = 31,666,187,462,874,455,080,960
  5. Step 5: Solve for x
    x = 31,666,187,462,874,455,080,960/145,295,532,078.30
  6. Step 6: Final answer
    x = 217,943,298,117.45

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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.