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Finding the Fourth Proportional to 100,975,869.40, 151,463,804.10 and 100,975,869.40

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Solution

The fourth proportional to 100,975,869.40, 151,463,804.10 and 100,975,869.40 is: 151,463,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,975,869.40 : 151,463,804.10 = 100,975,869.40 : x
  2. Step 2: Convert to fraction form
    100,975,869.40/151,463,804.10 = 100,975,869.40/x
  3. Step 3: Cross multiply
    100,975,869.40x = 151,463,804.10 × 100,975,869.40
  4. Step 4: Simplify right side
    100,975,869.40x = 15,294,189,301,628,784
  5. Step 5: Solve for x
    x = 15,294,189,301,628,784/100,975,869.40
  6. Step 6: Final answer
    x = 151,463,804.10

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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.