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Finding the Fourth Proportional to 9,099,014,774.90, 13,648,522,162.35 and 9,099,014,774.90

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Solution

The fourth proportional to 9,099,014,774.90, 13,648,522,162.35 and 9,099,014,774.90 is: 13,648,522,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,014,774.90 : 13,648,522,162.35 = 9,099,014,774.90 : x
  2. Step 2: Convert to fraction form
    9,099,014,774.90/13,648,522,162.35 = 9,099,014,774.90/x
  3. Step 3: Cross multiply
    9,099,014,774.90x = 13,648,522,162.35 × 9,099,014,774.90
  4. Step 4: Simplify right side
    9,099,014,774.90x = 124,188,104,810,772,742,144
  5. Step 5: Solve for x
    x = 124,188,104,810,772,742,144/9,099,014,774.90
  6. Step 6: Final answer
    x = 13,648,522,162.35

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Double scale
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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.