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Finding the Fourth Proportional to 32,772,357,148.20, 49,158,535,722.30 and 32,772,357,148.20

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Solution

The fourth proportional to 32,772,357,148.20, 49,158,535,722.30 and 32,772,357,148.20 is: 49,158,535,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772,357,148.20 : 49,158,535,722.30 = 32,772,357,148.20 : x
  2. Step 2: Convert to fraction form
    32,772,357,148.20/49,158,535,722.30 = 32,772,357,148.20/x
  3. Step 3: Cross multiply
    32,772,357,148.20x = 49,158,535,722.30 × 32,772,357,148.20
  4. Step 4: Simplify right side
    32,772,357,148.20x = 1,611,041,089,573,763,678,208
  5. Step 5: Solve for x
    x = 1,611,041,089,573,763,678,208/32,772,357,148.20
  6. Step 6: Final answer
    x = 49,158,535,722.30

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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.