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Finding the Fourth Proportional to 559,093,069,673.55, 838,639,604,510.33 and 559,093,069,673.55

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Solution

The fourth proportional to 559,093,069,673.55, 838,639,604,510.33 and 559,093,069,673.55 is: 838,639,604,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,093,069,673.55 : 838,639,604,510.33 = 559,093,069,673.55 : x
  2. Step 2: Convert to fraction form
    559,093,069,673.55/838,639,604,510.33 = 559,093,069,673.55/x
  3. Step 3: Cross multiply
    559,093,069,673.55x = 838,639,604,510.33 × 559,093,069,673.55
  4. Step 4: Simplify right side
    559,093,069,673.55x = 468,877,590,835,492,345,085,952
  5. Step 5: Solve for x
    x = 468,877,590,835,492,345,085,952/559,093,069,673.55
  6. Step 6: Final answer
    x = 838,639,604,510.33

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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.