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Finding the Fourth Proportional to 534,823,807,280.40, 802,235,710,920.60 and 534,823,807,280.40

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Solution

The fourth proportional to 534,823,807,280.40, 802,235,710,920.60 and 534,823,807,280.40 is: 802,235,710,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,823,807,280.40 : 802,235,710,920.60 = 534,823,807,280.40 : x
  2. Step 2: Convert to fraction form
    534,823,807,280.40/802,235,710,920.60 = 534,823,807,280.40/x
  3. Step 3: Cross multiply
    534,823,807,280.40x = 802,235,710,920.60 × 534,823,807,280.40
  4. Step 4: Simplify right side
    534,823,807,280.40x = 429,054,757,250,853,668,651,008
  5. Step 5: Solve for x
    x = 429,054,757,250,853,668,651,008/534,823,807,280.40
  6. Step 6: Final answer
    x = 802,235,710,920.60

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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.