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Finding the Fourth Proportional to 32,103,702,023.40, 48,155,553,035.10 and 32,103,702,023.40

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Solution

The fourth proportional to 32,103,702,023.40, 48,155,553,035.10 and 32,103,702,023.40 is: 48,155,553,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103,702,023.40 : 48,155,553,035.10 = 32,103,702,023.40 : x
  2. Step 2: Convert to fraction form
    32,103,702,023.40/48,155,553,035.10 = 32,103,702,023.40/x
  3. Step 3: Cross multiply
    32,103,702,023.40x = 48,155,553,035.10 × 32,103,702,023.40
  4. Step 4: Simplify right side
    32,103,702,023.40x = 1,545,971,525,410,885,992,448
  5. Step 5: Solve for x
    x = 1,545,971,525,410,885,992,448/32,103,702,023.40
  6. Step 6: Final answer
    x = 48,155,553,035.10

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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.