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Finding the Fourth Proportional to 470,016,335.60, 705,024,503.40 and 470,016,335.60

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Solution

The fourth proportional to 470,016,335.60, 705,024,503.40 and 470,016,335.60 is: 705,024,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,016,335.60 : 705,024,503.40 = 470,016,335.60 : x
  2. Step 2: Convert to fraction form
    470,016,335.60/705,024,503.40 = 470,016,335.60/x
  3. Step 3: Cross multiply
    470,016,335.60x = 705,024,503.40 × 470,016,335.60
  4. Step 4: Simplify right side
    470,016,335.60x = 331,373,033,596,277,760
  5. Step 5: Solve for x
    x = 331,373,033,596,277,760/470,016,335.60
  6. Step 6: Final answer
    x = 705,024,503.40

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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.