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Finding the Fourth Proportional to 32,595,178,643.60, 48,892,767,965.40 and 32,595,178,643.60

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Solution

The fourth proportional to 32,595,178,643.60, 48,892,767,965.40 and 32,595,178,643.60 is: 48,892,767,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,595,178,643.60 : 48,892,767,965.40 = 32,595,178,643.60 : x
  2. Step 2: Convert to fraction form
    32,595,178,643.60/48,892,767,965.40 = 32,595,178,643.60/x
  3. Step 3: Cross multiply
    32,595,178,643.60x = 48,892,767,965.40 × 32,595,178,643.60
  4. Step 4: Simplify right side
    32,595,178,643.60x = 1,593,668,506,212,296,294,400
  5. Step 5: Solve for x
    x = 1,593,668,506,212,296,294,400/32,595,178,643.60
  6. Step 6: Final answer
    x = 48,892,767,965.40

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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.