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Finding the Fourth Proportional to 772,145,018.90, 1,158,217,528.35 and 772,145,018.90

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Solution

The fourth proportional to 772,145,018.90, 1,158,217,528.35 and 772,145,018.90 is: 1,158,217,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,145,018.90 : 1,158,217,528.35 = 772,145,018.90 : x
  2. Step 2: Convert to fraction form
    772,145,018.90/1,158,217,528.35 = 772,145,018.90/x
  3. Step 3: Cross multiply
    772,145,018.90x = 1,158,217,528.35 × 772,145,018.90
  4. Step 4: Simplify right side
    772,145,018.90x = 894,311,895,318,121,984
  5. Step 5: Solve for x
    x = 894,311,895,318,121,984/772,145,018.90
  6. Step 6: Final answer
    x = 1,158,217,528.35

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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.