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Finding the Fourth Proportional to 377,177,472,001.80, 565,766,208,002.68 and 377,177,472,001.80

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Solution

The fourth proportional to 377,177,472,001.80, 565,766,208,002.68 and 377,177,472,001.80 is: 565,766,208,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,177,472,001.80 : 565,766,208,002.68 = 377,177,472,001.80 : x
  2. Step 2: Convert to fraction form
    377,177,472,001.80/565,766,208,002.68 = 377,177,472,001.80/x
  3. Step 3: Cross multiply
    377,177,472,001.80x = 565,766,208,002.68 × 377,177,472,001.80
  4. Step 4: Simplify right side
    377,177,472,001.80x = 213,394,268,078,495,412,256,768
  5. Step 5: Solve for x
    x = 213,394,268,078,495,412,256,768/377,177,472,001.80
  6. Step 6: Final answer
    x = 565,766,208,002.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.