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Finding the Fourth Proportional to 115,895,071,207.40, 173,842,606,811.10 and 115,895,071,207.40

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Solution

The fourth proportional to 115,895,071,207.40, 173,842,606,811.10 and 115,895,071,207.40 is: 173,842,606,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,895,071,207.40 : 173,842,606,811.10 = 115,895,071,207.40 : x
  2. Step 2: Convert to fraction form
    115,895,071,207.40/173,842,606,811.10 = 115,895,071,207.40/x
  3. Step 3: Cross multiply
    115,895,071,207.40x = 173,842,606,811.10 × 115,895,071,207.40
  4. Step 4: Simplify right side
    115,895,071,207.40x = 20,147,501,295,252,474,429,440
  5. Step 5: Solve for x
    x = 20,147,501,295,252,474,429,440/115,895,071,207.40
  6. Step 6: Final answer
    x = 173,842,606,811.10

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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.