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Finding the Fourth Proportional to 559,312,128,501.80, 838,968,192,752.70 and 559,312,128,501.80

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Solution

The fourth proportional to 559,312,128,501.80, 838,968,192,752.70 and 559,312,128,501.80 is: 838,968,192,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,312,128,501.80 : 838,968,192,752.70 = 559,312,128,501.80 : x
  2. Step 2: Convert to fraction form
    559,312,128,501.80/838,968,192,752.70 = 559,312,128,501.80/x
  3. Step 3: Cross multiply
    559,312,128,501.80x = 838,968,192,752.70 × 559,312,128,501.80
  4. Step 4: Simplify right side
    559,312,128,501.80x = 469,245,085,633,821,078,978,560
  5. Step 5: Solve for x
    x = 469,245,085,633,821,078,978,560/559,312,128,501.80
  6. Step 6: Final answer
    x = 838,968,192,752.70

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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.