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Finding the Fourth Proportional to 386,147,089,688.80, 579,220,634,533.20 and 386,147,089,688.80

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Solution

The fourth proportional to 386,147,089,688.80, 579,220,634,533.20 and 386,147,089,688.80 is: 579,220,634,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,147,089,688.80 : 579,220,634,533.20 = 386,147,089,688.80 : x
  2. Step 2: Convert to fraction form
    386,147,089,688.80/579,220,634,533.20 = 386,147,089,688.80/x
  3. Step 3: Cross multiply
    386,147,089,688.80x = 579,220,634,533.20 × 386,147,089,688.80
  4. Step 4: Simplify right side
    386,147,089,688.80x = 223,664,362,312,695,204,020,224
  5. Step 5: Solve for x
    x = 223,664,362,312,695,204,020,224/386,147,089,688.80
  6. Step 6: Final answer
    x = 579,220,634,533.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.