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Finding the Fourth Proportional to 4,413,369,742,709.80, 6,620,054,614,064.60 and 4,413,369,742,709.80

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Solution

The fourth proportional to 4,413,369,742,709.80, 6,620,054,614,064.60 and 4,413,369,742,709.80 is: 6,620,054,614,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413,369,742,709.80 : 6,620,054,614,064.60 = 4,413,369,742,709.80 : x
  2. Step 2: Convert to fraction form
    4,413,369,742,709.80/6,620,054,614,064.60 = 4,413,369,742,709.80/x
  3. Step 3: Cross multiply
    4,413,369,742,709.80x = 6,620,054,614,064.60 × 4,413,369,742,709.80
  4. Step 4: Simplify right side
    4,413,369,742,709.80x = 29,216,748,728,799,105,497,694,208
  5. Step 5: Solve for x
    x = 29,216,748,728,799,105,497,694,208/4,413,369,742,709.80
  6. Step 6: Final answer
    x = 6,620,054,614,064.60

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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.