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Finding the Fourth Proportional to 534,870,010.90, 802,305,016.35 and 534,870,010.90

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Solution

The fourth proportional to 534,870,010.90, 802,305,016.35 and 534,870,010.90 is: 802,305,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,870,010.90 : 802,305,016.35 = 534,870,010.90 : x
  2. Step 2: Convert to fraction form
    534,870,010.90/802,305,016.35 = 534,870,010.90/x
  3. Step 3: Cross multiply
    534,870,010.90x = 802,305,016.35 × 534,870,010.90
  4. Step 4: Simplify right side
    534,870,010.90x = 429,128,892,840,249,152
  5. Step 5: Solve for x
    x = 429,128,892,840,249,152/534,870,010.90
  6. Step 6: Final answer
    x = 802,305,016.35

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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.