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Finding the Fourth Proportional to 470,906,784,014.40, 706,360,176,021.60 and 470,906,784,014.40

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Solution

The fourth proportional to 470,906,784,014.40, 706,360,176,021.60 and 470,906,784,014.40 is: 706,360,176,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,906,784,014.40 : 706,360,176,021.60 = 470,906,784,014.40 : x
  2. Step 2: Convert to fraction form
    470,906,784,014.40/706,360,176,021.60 = 470,906,784,014.40/x
  3. Step 3: Cross multiply
    470,906,784,014.40x = 706,360,176,021.60 × 470,906,784,014.40
  4. Step 4: Simplify right side
    470,906,784,014.40x = 332,629,798,846,177,159,938,048
  5. Step 5: Solve for x
    x = 332,629,798,846,177,159,938,048/470,906,784,014.40
  6. Step 6: Final answer
    x = 706,360,176,021.60

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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.