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Finding the Fourth Proportional to 163,315,030,672.05, 244,972,546,008.07 and 163,315,030,672.05

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Solution

The fourth proportional to 163,315,030,672.05, 244,972,546,008.07 and 163,315,030,672.05 is: 244,972,546,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,315,030,672.05 : 244,972,546,008.07 = 163,315,030,672.05 : x
  2. Step 2: Convert to fraction form
    163,315,030,672.05/244,972,546,008.07 = 163,315,030,672.05/x
  3. Step 3: Cross multiply
    163,315,030,672.05x = 244,972,546,008.07 × 163,315,030,672.05
  4. Step 4: Simplify right side
    163,315,030,672.05x = 40,007,698,865,118,133,616,640
  5. Step 5: Solve for x
    x = 40,007,698,865,118,133,616,640/163,315,030,672.05
  6. Step 6: Final answer
    x = 244,972,546,008.07

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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.