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Finding the Fourth Proportional to 470,536,296.60, 706,476,291.30 and 266,462,952.60

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Solution

The fourth proportional to 470,536,296.60, 706,476,291.30 and 266,462,952.60 is: 400,074,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,536,296.60 : 706,476,291.30 = 266,462,952.60 : x
  2. Step 2: Convert to fraction form
    470,536,296.60/706,476,291.30 = 266,462,952.60/x
  3. Step 3: Cross multiply
    470,536,296.60x = 706,476,291.30 × 266,462,952.60
  4. Step 4: Simplify right side
    470,536,296.60x = 188,249,758,521,695,680
  5. Step 5: Solve for x
    x = 188,249,758,521,695,680/470,536,296.60
  6. Step 6: Final answer
    x = 400,074,893.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.