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Finding the Fourth Proportional to 238,088,774,401.70, 357,133,161,602.55 and 238,088,774,401.70

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Solution

The fourth proportional to 238,088,774,401.70, 357,133,161,602.55 and 238,088,774,401.70 is: 357,133,161,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,088,774,401.70 : 357,133,161,602.55 = 238,088,774,401.70 : x
  2. Step 2: Convert to fraction form
    238,088,774,401.70/357,133,161,602.55 = 238,088,774,401.70/x
  3. Step 3: Cross multiply
    238,088,774,401.70x = 357,133,161,602.55 × 238,088,774,401.70
  4. Step 4: Simplify right side
    238,088,774,401.70x = 85,029,396,744,155,403,649,024
  5. Step 5: Solve for x
    x = 85,029,396,744,155,403,649,024/238,088,774,401.70
  6. Step 6: Final answer
    x = 357,133,161,602.55

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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.