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Finding the Fourth Proportional to 64,680,782,806.40, 97,021,174,209.60 and 64,680,782,806.40

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Solution

The fourth proportional to 64,680,782,806.40, 97,021,174,209.60 and 64,680,782,806.40 is: 97,021,174,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,680,782,806.40 : 97,021,174,209.60 = 64,680,782,806.40 : x
  2. Step 2: Convert to fraction form
    64,680,782,806.40/97,021,174,209.60 = 64,680,782,806.40/x
  3. Step 3: Cross multiply
    64,680,782,806.40x = 97,021,174,209.60 × 64,680,782,806.40
  4. Step 4: Simplify right side
    64,680,782,806.40x = 6,275,405,496,673,035,616,256
  5. Step 5: Solve for x
    x = 6,275,405,496,673,035,616,256/64,680,782,806.40
  6. Step 6: Final answer
    x = 97,021,174,209.60

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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.