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Finding the Fourth Proportional to 285,161,475,999.20, 427,742,213,998.80 and 285,161,475,999.20

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Solution

The fourth proportional to 285,161,475,999.20, 427,742,213,998.80 and 285,161,475,999.20 is: 427,742,213,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,161,475,999.20 : 427,742,213,998.80 = 285,161,475,999.20 : x
  2. Step 2: Convert to fraction form
    285,161,475,999.20/427,742,213,998.80 = 285,161,475,999.20/x
  3. Step 3: Cross multiply
    285,161,475,999.20x = 427,742,213,998.80 × 285,161,475,999.20
  4. Step 4: Simplify right side
    285,161,475,999.20x = 121,975,601,091,063,482,155,008
  5. Step 5: Solve for x
    x = 121,975,601,091,063,482,155,008/285,161,475,999.20
  6. Step 6: Final answer
    x = 427,742,213,998.80

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1.5x scale

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.