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Finding the Fourth Proportional to 30,233,089,353.70, 45,349,634,030.55 and 30,233,089,353.70

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Solution

The fourth proportional to 30,233,089,353.70, 45,349,634,030.55 and 30,233,089,353.70 is: 45,349,634,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233,089,353.70 : 45,349,634,030.55 = 30,233,089,353.70 : x
  2. Step 2: Convert to fraction form
    30,233,089,353.70/45,349,634,030.55 = 30,233,089,353.70/x
  3. Step 3: Cross multiply
    30,233,089,353.70x = 45,349,634,030.55 × 30,233,089,353.70
  4. Step 4: Simplify right side
    30,233,089,353.70x = 1,371,059,537,803,212,488,704
  5. Step 5: Solve for x
    x = 1,371,059,537,803,212,488,704/30,233,089,353.70
  6. Step 6: Final answer
    x = 45,349,634,030.55

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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.