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Finding the Fourth Proportional to 147,492,075.30, 206,106,267.90 and 147,492,075.30

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Solution

The fourth proportional to 147,492,075.30, 206,106,267.90 and 147,492,075.30 is: 206,106,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,492,075.30 : 206,106,267.90 = 147,492,075.30 : x
  2. Step 2: Convert to fraction form
    147,492,075.30/206,106,267.90 = 147,492,075.30/x
  3. Step 3: Cross multiply
    147,492,075.30x = 206,106,267.90 × 147,492,075.30
  4. Step 4: Simplify right side
    147,492,075.30x = 30,399,041,184,908,776
  5. Step 5: Solve for x
    x = 30,399,041,184,908,776/147,492,075.30
  6. Step 6: Final answer
    x = 206,106,267.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.