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Finding the Fourth Proportional to 1,473,508,973,907.80, 2,210,263,460,861.80 and 1,473,508,973,907.80

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Solution

The fourth proportional to 1,473,508,973,907.80, 2,210,263,460,861.80 and 1,473,508,973,907.80 is: 2,210,263,460,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,508,973,907.80 : 2,210,263,460,861.80 = 1,473,508,973,907.80 : x
  2. Step 2: Convert to fraction form
    1,473,508,973,907.80/2,210,263,460,861.80 = 1,473,508,973,907.80/x
  3. Step 3: Cross multiply
    1,473,508,973,907.80x = 2,210,263,460,861.80 × 1,473,508,973,907.80
  4. Step 4: Simplify right side
    1,473,508,973,907.80x = 3,256,843,044,280,373,662,973,952
  5. Step 5: Solve for x
    x = 3,256,843,044,280,373,662,973,952/1,473,508,973,907.80
  6. Step 6: Final answer
    x = 2,210,263,460,861.80

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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.