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Finding the Fourth Proportional to 470,106,417.40, 705,159,626.10 and 470,106,417.40

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Solution

The fourth proportional to 470,106,417.40, 705,159,626.10 and 470,106,417.40 is: 705,159,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,106,417.40 : 705,159,626.10 = 470,106,417.40 : x
  2. Step 2: Convert to fraction form
    470,106,417.40/705,159,626.10 = 470,106,417.40/x
  3. Step 3: Cross multiply
    470,106,417.40x = 705,159,626.10 × 470,106,417.40
  4. Step 4: Simplify right side
    470,106,417.40x = 331,500,065,520,994,560
  5. Step 5: Solve for x
    x = 331,500,065,520,994,560/470,106,417.40
  6. Step 6: Final answer
    x = 705,159,626.10

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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.