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Finding the Fourth Proportional to 470,906,784,000.40, 706,360,176,000.60 and 470,906,784,000.40

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Solution

The fourth proportional to 470,906,784,000.40, 706,360,176,000.60 and 470,906,784,000.40 is: 706,360,176,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,906,784,000.40 : 706,360,176,000.60 = 470,906,784,000.40 : x
  2. Step 2: Convert to fraction form
    470,906,784,000.40/706,360,176,000.60 = 470,906,784,000.40/x
  3. Step 3: Cross multiply
    470,906,784,000.40x = 706,360,176,000.60 × 470,906,784,000.40
  4. Step 4: Simplify right side
    470,906,784,000.40x = 332,629,798,826,399,103,975,424
  5. Step 5: Solve for x
    x = 332,629,798,826,399,103,975,424/470,906,784,000.40
  6. Step 6: Final answer
    x = 706,360,176,000.60

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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.