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Finding the Fourth Proportional to 14,656,298,692.20, 21,984,448,038.30 and 14,656,298,692.20

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Solution

The fourth proportional to 14,656,298,692.20, 21,984,448,038.30 and 14,656,298,692.20 is: 21,984,448,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656,298,692.20 : 21,984,448,038.30 = 14,656,298,692.20 : x
  2. Step 2: Convert to fraction form
    14,656,298,692.20/21,984,448,038.30 = 14,656,298,692.20/x
  3. Step 3: Cross multiply
    14,656,298,692.20x = 21,984,448,038.30 × 14,656,298,692.20
  4. Step 4: Simplify right side
    14,656,298,692.20x = 322,210,637,032,475,131,904
  5. Step 5: Solve for x
    x = 322,210,637,032,475,131,904/14,656,298,692.20
  6. Step 6: Final answer
    x = 21,984,448,038.30

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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.