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Finding the Fourth Proportional to 420,075,999.90, 630,113,999.85 and 420,075,999.90

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Solution

The fourth proportional to 420,075,999.90, 630,113,999.85 and 420,075,999.90 is: 630,113,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,075,999.90 : 630,113,999.85 = 420,075,999.90 : x
  2. Step 2: Convert to fraction form
    420,075,999.90/630,113,999.85 = 420,075,999.90/x
  3. Step 3: Cross multiply
    420,075,999.90x = 630,113,999.85 × 420,075,999.90
  4. Step 4: Simplify right side
    420,075,999.90x = 264,695,768,537,977,184
  5. Step 5: Solve for x
    x = 264,695,768,537,977,184/420,075,999.90
  6. Step 6: Final answer
    x = 630,113,999.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.