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Finding the Fourth Proportional to 288,520,763,938.80, 403,103,504,658 and 288,520,763,938.80

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Solution

The fourth proportional to 288,520,763,938.80, 403,103,504,658 and 288,520,763,938.80 is: 403,103,504,658

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,520,763,938.80 : 403,103,504,658 = 288,520,763,938.80 : x
  2. Step 2: Convert to fraction form
    288,520,763,938.80/403,103,504,658 = 288,520,763,938.80/x
  3. Step 3: Cross multiply
    288,520,763,938.80x = 403,103,504,658 × 288,520,763,938.80
  4. Step 4: Simplify right side
    288,520,763,938.80x = 116,303,731,110,333,772,726,272
  5. Step 5: Solve for x
    x = 116,303,731,110,333,772,726,272/288,520,763,938.80
  6. Step 6: Final answer
    x = 403,103,504,658

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.