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Finding the Fourth Proportional to 3,009,684,605,806.70, 4,514,526,908,710.10 and 3,009,684,605,806.70

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Solution

The fourth proportional to 3,009,684,605,806.70, 4,514,526,908,710.10 and 3,009,684,605,806.70 is: 4,514,526,908,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009,684,605,806.70 : 4,514,526,908,710.10 = 3,009,684,605,806.70 : x
  2. Step 2: Convert to fraction form
    3,009,684,605,806.70/4,514,526,908,710.10 = 3,009,684,605,806.70/x
  3. Step 3: Cross multiply
    3,009,684,605,806.70x = 4,514,526,908,710.10 × 3,009,684,605,806.70
  4. Step 4: Simplify right side
    3,009,684,605,806.70x = 13,587,302,139,644,897,566,654,464
  5. Step 5: Solve for x
    x = 13,587,302,139,644,897,566,654,464/3,009,684,605,806.70
  6. Step 6: Final answer
    x = 4,514,526,908,710.10

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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.