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Finding the Fourth Proportional to 142,898,328,053.70, 214,347,492,080.55 and 142,898,328,053.70

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Solution

The fourth proportional to 142,898,328,053.70, 214,347,492,080.55 and 142,898,328,053.70 is: 214,347,492,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,898,328,053.70 : 214,347,492,080.55 = 142,898,328,053.70 : x
  2. Step 2: Convert to fraction form
    142,898,328,053.70/214,347,492,080.55 = 142,898,328,053.70/x
  3. Step 3: Cross multiply
    142,898,328,053.70x = 214,347,492,080.55 × 142,898,328,053.70
  4. Step 4: Simplify right side
    142,898,328,053.70x = 30,629,898,240,814,298,955,776
  5. Step 5: Solve for x
    x = 30,629,898,240,814,298,955,776/142,898,328,053.70
  6. Step 6: Final answer
    x = 214,347,492,080.55

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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.