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Finding the Fourth Proportional to 117,710,328,051.53, 176,565,492,077.28 and 117,710,328,051.53

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Solution

The fourth proportional to 117,710,328,051.53, 176,565,492,077.28 and 117,710,328,051.53 is: 176,565,492,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,710,328,051.53 : 176,565,492,077.28 = 117,710,328,051.53 : x
  2. Step 2: Convert to fraction form
    117,710,328,051.53/176,565,492,077.28 = 117,710,328,051.53/x
  3. Step 3: Cross multiply
    117,710,328,051.53x = 176,565,492,077.28 × 117,710,328,051.53
  4. Step 4: Simplify right side
    117,710,328,051.53x = 20,783,581,994,996,448,886,784
  5. Step 5: Solve for x
    x = 20,783,581,994,996,448,886,784/117,710,328,051.53
  6. Step 6: Final answer
    x = 176,565,492,077.28

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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.