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Finding the Fourth Proportional to 775,736,999.40, 1,163,605,499.10 and 775,736,999.40

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Solution

The fourth proportional to 775,736,999.40, 1,163,605,499.10 and 775,736,999.40 is: 1,163,605,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,736,999.40 : 1,163,605,499.10 = 775,736,999.40 : x
  2. Step 2: Convert to fraction form
    775,736,999.40/1,163,605,499.10 = 775,736,999.40/x
  3. Step 3: Cross multiply
    775,736,999.40x = 1,163,605,499.10 × 775,736,999.40
  4. Step 4: Simplify right side
    775,736,999.40x = 902,651,838,357,173,248
  5. Step 5: Solve for x
    x = 902,651,838,357,173,248/775,736,999.40
  6. Step 6: Final answer
    x = 1,163,605,499.10

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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.