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Finding the Fourth Proportional to 1,048,877,075.52, 1,447,450,653.60 and 578,978,701.92

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Solution

The fourth proportional to 1,048,877,075.52, 1,447,450,653.60 and 578,978,701.92 is: 798,990,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,877,075.52 : 1,447,450,653.60 = 578,978,701.92 : x
  2. Step 2: Convert to fraction form
    1,048,877,075.52/1,447,450,653.60 = 578,978,701.92/x
  3. Step 3: Cross multiply
    1,048,877,075.52x = 1,447,450,653.60 × 578,978,701.92
  4. Step 4: Simplify right side
    1,048,877,075.52x = 838,043,100,514,583,424
  5. Step 5: Solve for x
    x = 838,043,100,514,583,424/1,048,877,075.52
  6. Step 6: Final answer
    x = 798,990,768.39

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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.