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Finding the Fourth Proportional to 420,901,272,000.52, 631,351,908,000.77 and 420,901,272,000.52

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Solution

The fourth proportional to 420,901,272,000.52, 631,351,908,000.77 and 420,901,272,000.52 is: 631,351,908,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,901,272,000.52 : 631,351,908,000.77 = 420,901,272,000.52 : x
  2. Step 2: Convert to fraction form
    420,901,272,000.52/631,351,908,000.77 = 420,901,272,000.52/x
  3. Step 3: Cross multiply
    420,901,272,000.52x = 631,351,908,000.77 × 420,901,272,000.52
  4. Step 4: Simplify right side
    420,901,272,000.52x = 265,736,821,157,479,409,778,688
  5. Step 5: Solve for x
    x = 265,736,821,157,479,409,778,688/420,901,272,000.52
  6. Step 6: Final answer
    x = 631,351,908,000.77

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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.