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Finding the Fourth Proportional to 559,094,525,657.55, 838,641,788,486.35 and 559,094,525,657.55

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Solution

The fourth proportional to 559,094,525,657.55, 838,641,788,486.35 and 559,094,525,657.55 is: 838,641,788,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,094,525,657.55 : 838,641,788,486.35 = 559,094,525,657.55 : x
  2. Step 2: Convert to fraction form
    559,094,525,657.55/838,641,788,486.35 = 559,094,525,657.55/x
  3. Step 3: Cross multiply
    559,094,525,657.55x = 838,641,788,486.35 × 559,094,525,657.55
  4. Step 4: Simplify right side
    559,094,525,657.55x = 468,880,032,930,375,260,962,816
  5. Step 5: Solve for x
    x = 468,880,032,930,375,260,962,816/559,094,525,657.55
  6. Step 6: Final answer
    x = 838,641,788,486.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.