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Finding the Fourth Proportional to 24,215,464,101.60, 36,323,196,152.40 and 24,215,464,101.60

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Solution

The fourth proportional to 24,215,464,101.60, 36,323,196,152.40 and 24,215,464,101.60 is: 36,323,196,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215,464,101.60 : 36,323,196,152.40 = 24,215,464,101.60 : x
  2. Step 2: Convert to fraction form
    24,215,464,101.60/36,323,196,152.40 = 24,215,464,101.60/x
  3. Step 3: Cross multiply
    24,215,464,101.60x = 36,323,196,152.40 × 24,215,464,101.60
  4. Step 4: Simplify right side
    24,215,464,101.60x = 879,583,052,483,817,373,696
  5. Step 5: Solve for x
    x = 879,583,052,483,817,373,696/24,215,464,101.60
  6. Step 6: Final answer
    x = 36,323,196,152.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.