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Finding the Fourth Proportional to 772,374,531,952.90, 1,158,561,797,929.40 and 772,374,531,952.90

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Solution

The fourth proportional to 772,374,531,952.90, 1,158,561,797,929.40 and 772,374,531,952.90 is: 1,158,561,797,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,374,531,952.90 : 1,158,561,797,929.40 = 772,374,531,952.90 : x
  2. Step 2: Convert to fraction form
    772,374,531,952.90/1,158,561,797,929.40 = 772,374,531,952.90/x
  3. Step 3: Cross multiply
    772,374,531,952.90x = 1,158,561,797,929.40 × 772,374,531,952.90
  4. Step 4: Simplify right side
    772,374,531,952.90x = 894,843,626,414,230,562,930,688
  5. Step 5: Solve for x
    x = 894,843,626,414,230,562,930,688/772,374,531,952.90
  6. Step 6: Final answer
    x = 1,158,561,797,929.40

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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.