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Finding the Fourth Proportional to 6,550,762,479.60, 9,826,143,719.40 and 6,550,762,479.60

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Solution

The fourth proportional to 6,550,762,479.60, 9,826,143,719.40 and 6,550,762,479.60 is: 9,826,143,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550,762,479.60 : 9,826,143,719.40 = 6,550,762,479.60 : x
  2. Step 2: Convert to fraction form
    6,550,762,479.60/9,826,143,719.40 = 6,550,762,479.60/x
  3. Step 3: Cross multiply
    6,550,762,479.60x = 9,826,143,719.40 × 6,550,762,479.60
  4. Step 4: Simplify right side
    6,550,762,479.60x = 64,368,733,596,202,713,088
  5. Step 5: Solve for x
    x = 64,368,733,596,202,713,088/6,550,762,479.60
  6. Step 6: Final answer
    x = 9,826,143,719.40

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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.