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Finding the Fourth Proportional to 117,710,328,052.15, 176,565,492,078.22 and 117,710,328,052.15

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Solution

The fourth proportional to 117,710,328,052.15, 176,565,492,078.22 and 117,710,328,052.15 is: 176,565,492,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,710,328,052.15 : 176,565,492,078.22 = 117,710,328,052.15 : x
  2. Step 2: Convert to fraction form
    117,710,328,052.15/176,565,492,078.22 = 117,710,328,052.15/x
  3. Step 3: Cross multiply
    117,710,328,052.15x = 176,565,492,078.22 × 117,710,328,052.15
  4. Step 4: Simplify right side
    117,710,328,052.15x = 20,783,581,995,216,565,960,704
  5. Step 5: Solve for x
    x = 20,783,581,995,216,565,960,704/117,710,328,052.15
  6. Step 6: Final answer
    x = 176,565,492,078.22

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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.