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Finding the Fourth Proportional to 583,258,609,519.80, 874,887,914,279.70 and 583,258,609,519.80

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Solution

The fourth proportional to 583,258,609,519.80, 874,887,914,279.70 and 583,258,609,519.80 is: 874,887,914,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,258,609,519.80 : 874,887,914,279.70 = 583,258,609,519.80 : x
  2. Step 2: Convert to fraction form
    583,258,609,519.80/874,887,914,279.70 = 583,258,609,519.80/x
  3. Step 3: Cross multiply
    583,258,609,519.80x = 874,887,914,279.70 × 583,258,609,519.80
  4. Step 4: Simplify right side
    583,258,609,519.80x = 510,285,908,368,455,830,077,440
  5. Step 5: Solve for x
    x = 510,285,908,368,455,830,077,440/583,258,609,519.80
  6. Step 6: Final answer
    x = 874,887,914,279.70

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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.