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Finding the Fourth Proportional to 2,274,742,946.35, 3,412,114,419.53 and 2,274,742,946.35

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Solution

The fourth proportional to 2,274,742,946.35, 3,412,114,419.53 and 2,274,742,946.35 is: 3,412,114,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,742,946.35 : 3,412,114,419.53 = 2,274,742,946.35 : x
  2. Step 2: Convert to fraction form
    2,274,742,946.35/3,412,114,419.53 = 2,274,742,946.35/x
  3. Step 3: Cross multiply
    2,274,742,946.35x = 3,412,114,419.53 × 2,274,742,946.35
  4. Step 4: Simplify right side
    2,274,742,946.35x = 7,761,683,207,953,617,920
  5. Step 5: Solve for x
    x = 7,761,683,207,953,617,920/2,274,742,946.35
  6. Step 6: Final answer
    x = 3,412,114,419.53

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Double scale
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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.