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Finding the Fourth Proportional to 1,093,594,607.03, 1,509,160,511.29 and 591,803,406.24

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Solution

The fourth proportional to 1,093,594,607.03, 1,509,160,511.29 and 591,803,406.24 is: 816,688,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,594,607.03 : 1,509,160,511.29 = 591,803,406.24 : x
  2. Step 2: Convert to fraction form
    1,093,594,607.03/1,509,160,511.29 = 591,803,406.24/x
  3. Step 3: Cross multiply
    1,093,594,607.03x = 1,509,160,511.29 × 591,803,406.24
  4. Step 4: Simplify right side
    1,093,594,607.03x = 893,126,331,144,321,920
  5. Step 5: Solve for x
    x = 893,126,331,144,321,920/1,093,594,607.03
  6. Step 6: Final answer
    x = 816,688,675.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.