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Finding the Fourth Proportional to 71,186,075.60, 106,779,113.40 and 71,186,075.60

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Solution

The fourth proportional to 71,186,075.60, 106,779,113.40 and 71,186,075.60 is: 106,779,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,186,075.60 : 106,779,113.40 = 71,186,075.60 : x
  2. Step 2: Convert to fraction form
    71,186,075.60/106,779,113.40 = 71,186,075.60/x
  3. Step 3: Cross multiply
    71,186,075.60x = 106,779,113.40 × 71,186,075.60
  4. Step 4: Simplify right side
    71,186,075.60x = 7,601,186,038,993,373
  5. Step 5: Solve for x
    x = 7,601,186,038,993,373/71,186,075.60
  6. Step 6: Final answer
    x = 106,779,113.40

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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.