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Finding the Fourth Proportional to 117,710,328,051.15, 176,565,492,076.72 and 117,710,328,051.15

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Solution

The fourth proportional to 117,710,328,051.15, 176,565,492,076.72 and 117,710,328,051.15 is: 176,565,492,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,710,328,051.15 : 176,565,492,076.72 = 117,710,328,051.15 : x
  2. Step 2: Convert to fraction form
    117,710,328,051.15/176,565,492,076.72 = 117,710,328,051.15/x
  3. Step 3: Cross multiply
    117,710,328,051.15x = 176,565,492,076.72 × 117,710,328,051.15
  4. Step 4: Simplify right side
    117,710,328,051.15x = 20,783,581,994,863,434,924,032
  5. Step 5: Solve for x
    x = 20,783,581,994,863,434,924,032/117,710,328,051.15
  6. Step 6: Final answer
    x = 176,565,492,076.72

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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.