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Finding the Fourth Proportional to 84,960,615,210.30, 127,196,034,802.65 and 84,960,615,210.30

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Solution

The fourth proportional to 84,960,615,210.30, 127,196,034,802.65 and 84,960,615,210.30 is: 127,196,034,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,960,615,210.30 : 127,196,034,802.65 = 84,960,615,210.30 : x
  2. Step 2: Convert to fraction form
    84,960,615,210.30/127,196,034,802.65 = 84,960,615,210.30/x
  3. Step 3: Cross multiply
    84,960,615,210.30x = 127,196,034,802.65 × 84,960,615,210.30
  4. Step 4: Simplify right side
    84,960,615,210.30x = 10,806,653,369,143,873,503,232
  5. Step 5: Solve for x
    x = 10,806,653,369,143,873,503,232/84,960,615,210.30
  6. Step 6: Final answer
    x = 127,196,034,802.65

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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.