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Finding the Fourth Proportional to 14,668,402,075.65, 22,002,603,113.48 and 14,668,402,075.65

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Solution

The fourth proportional to 14,668,402,075.65, 22,002,603,113.48 and 14,668,402,075.65 is: 22,002,603,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668,402,075.65 : 22,002,603,113.48 = 14,668,402,075.65 : x
  2. Step 2: Convert to fraction form
    14,668,402,075.65/22,002,603,113.48 = 14,668,402,075.65/x
  3. Step 3: Cross multiply
    14,668,402,075.65x = 22,002,603,113.48 × 14,668,402,075.65
  4. Step 4: Simplify right side
    14,668,402,075.65x = 322,743,029,179,399,798,784
  5. Step 5: Solve for x
    x = 322,743,029,179,399,798,784/14,668,402,075.65
  6. Step 6: Final answer
    x = 22,002,603,113.48

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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.