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Finding the Fourth Proportional to 30,233,089,429.70, 45,349,634,144.55 and 30,233,089,429.70

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Solution

The fourth proportional to 30,233,089,429.70, 45,349,634,144.55 and 30,233,089,429.70 is: 45,349,634,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233,089,429.70 : 45,349,634,144.55 = 30,233,089,429.70 : x
  2. Step 2: Convert to fraction form
    30,233,089,429.70/45,349,634,144.55 = 30,233,089,429.70/x
  3. Step 3: Cross multiply
    30,233,089,429.70x = 45,349,634,144.55 × 30,233,089,429.70
  4. Step 4: Simplify right side
    30,233,089,429.70x = 1,371,059,544,696,356,864,000
  5. Step 5: Solve for x
    x = 1,371,059,544,696,356,864,000/30,233,089,429.70
  6. Step 6: Final answer
    x = 45,349,634,144.55

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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.