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Finding the Fourth Proportional to 536,362,907.90, 804,544,361.85 and 463,661,779.10

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Solution

The fourth proportional to 536,362,907.90, 804,544,361.85 and 463,661,779.10 is: 695,492,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,362,907.90 : 804,544,361.85 = 463,661,779.10 : x
  2. Step 2: Convert to fraction form
    536,362,907.90/804,544,361.85 = 463,661,779.10/x
  3. Step 3: Cross multiply
    536,362,907.90x = 804,544,361.85 × 463,661,779.10
  4. Step 4: Simplify right side
    536,362,907.90x = 373,036,470,180,245,184
  5. Step 5: Solve for x
    x = 373,036,470,180,245,184/536,362,907.90
  6. Step 6: Final answer
    x = 695,492,668.65

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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.