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Finding the Fourth Proportional to 283,609,071,370.35, 425,413,607,055.52 and 283,609,071,370.35

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Solution

The fourth proportional to 283,609,071,370.35, 425,413,607,055.52 and 283,609,071,370.35 is: 425,413,607,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,609,071,370.35 : 425,413,607,055.52 = 283,609,071,370.35 : x
  2. Step 2: Convert to fraction form
    283,609,071,370.35/425,413,607,055.52 = 283,609,071,370.35/x
  3. Step 3: Cross multiply
    283,609,071,370.35x = 425,413,607,055.52 × 283,609,071,370.35
  4. Step 4: Simplify right side
    283,609,071,370.35x = 120,651,158,045,326,990,901,248
  5. Step 5: Solve for x
    x = 120,651,158,045,326,990,901,248/283,609,071,370.35
  6. Step 6: Final answer
    x = 425,413,607,055.52

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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.