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Finding the Fourth Proportional to 128,429,000,522.70, 192,643,500,784.05 and 128,429,000,522.70

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Solution

The fourth proportional to 128,429,000,522.70, 192,643,500,784.05 and 128,429,000,522.70 is: 192,643,500,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,429,000,522.70 : 192,643,500,784.05 = 128,429,000,522.70 : x
  2. Step 2: Convert to fraction form
    128,429,000,522.70/192,643,500,784.05 = 128,429,000,522.70/x
  3. Step 3: Cross multiply
    128,429,000,522.70x = 192,643,500,784.05 × 128,429,000,522.70
  4. Step 4: Simplify right side
    128,429,000,522.70x = 24,741,012,262,889,512,239,104
  5. Step 5: Solve for x
    x = 24,741,012,262,889,512,239,104/128,429,000,522.70
  6. Step 6: Final answer
    x = 192,643,500,784.05

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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.