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Finding the Fourth Proportional to 32,596,605,600.30, 48,894,908,400.45 and 32,596,605,600.30

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Solution

The fourth proportional to 32,596,605,600.30, 48,894,908,400.45 and 32,596,605,600.30 is: 48,894,908,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596,605,600.30 : 48,894,908,400.45 = 32,596,605,600.30 : x
  2. Step 2: Convert to fraction form
    32,596,605,600.30/48,894,908,400.45 = 32,596,605,600.30/x
  3. Step 3: Cross multiply
    32,596,605,600.30x = 48,894,908,400.45 × 32,596,605,600.30
  4. Step 4: Simplify right side
    32,596,605,600.30x = 1,593,808,044,992,263,880,704
  5. Step 5: Solve for x
    x = 1,593,808,044,992,263,880,704/32,596,605,600.30
  6. Step 6: Final answer
    x = 48,894,908,400.45

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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.