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Finding the Fourth Proportional to 15,981,032,935.10, 23,971,549,402.65 and 15,981,032,935.10

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Solution

The fourth proportional to 15,981,032,935.10, 23,971,549,402.65 and 15,981,032,935.10 is: 23,971,549,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,981,032,935.10 : 23,971,549,402.65 = 15,981,032,935.10 : x
  2. Step 2: Convert to fraction form
    15,981,032,935.10/23,971,549,402.65 = 15,981,032,935.10/x
  3. Step 3: Cross multiply
    15,981,032,935.10x = 23,971,549,402.65 × 15,981,032,935.10
  4. Step 4: Simplify right side
    15,981,032,935.10x = 383,090,120,509,126,410,240
  5. Step 5: Solve for x
    x = 383,090,120,509,126,410,240/15,981,032,935.10
  6. Step 6: Final answer
    x = 23,971,549,402.65

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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.