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Finding the Fourth Proportional to 297,091,729,404.45, 445,637,594,106.68 and 297,091,729,404.45

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Solution

The fourth proportional to 297,091,729,404.45, 445,637,594,106.68 and 297,091,729,404.45 is: 445,637,594,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,091,729,404.45 : 445,637,594,106.68 = 297,091,729,404.45 : x
  2. Step 2: Convert to fraction form
    297,091,729,404.45/445,637,594,106.68 = 297,091,729,404.45/x
  3. Step 3: Cross multiply
    297,091,729,404.45x = 445,637,594,106.68 × 297,091,729,404.45
  4. Step 4: Simplify right side
    297,091,729,404.45x = 132,395,243,520,791,892,983,808
  5. Step 5: Solve for x
    x = 132,395,243,520,791,892,983,808/297,091,729,404.45
  6. Step 6: Final answer
    x = 445,637,594,106.68

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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.