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Finding the Fourth Proportional to 534,823,807,287.15, 802,235,710,930.73 and 534,823,807,287.15

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Solution

The fourth proportional to 534,823,807,287.15, 802,235,710,930.73 and 534,823,807,287.15 is: 802,235,710,930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,823,807,287.15 : 802,235,710,930.73 = 534,823,807,287.15 : x
  2. Step 2: Convert to fraction form
    534,823,807,287.15/802,235,710,930.73 = 534,823,807,287.15/x
  3. Step 3: Cross multiply
    534,823,807,287.15x = 802,235,710,930.73 × 534,823,807,287.15
  4. Step 4: Simplify right side
    534,823,807,287.15x = 429,054,757,261,686,515,695,616
  5. Step 5: Solve for x
    x = 429,054,757,261,686,515,695,616/534,823,807,287.15
  6. Step 6: Final answer
    x = 802,235,710,930.73

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1.5x scale

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.