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Finding the Fourth Proportional to 47,051,008,075.90, 66,036,710,714.90 and 47,051,008,075.90

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Solution

The fourth proportional to 47,051,008,075.90, 66,036,710,714.90 and 47,051,008,075.90 is: 66,036,710,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,051,008,075.90 : 66,036,710,714.90 = 47,051,008,075.90 : x
  2. Step 2: Convert to fraction form
    47,051,008,075.90/66,036,710,714.90 = 47,051,008,075.90/x
  3. Step 3: Cross multiply
    47,051,008,075.90x = 66,036,710,714.90 × 47,051,008,075.90
  4. Step 4: Simplify right side
    47,051,008,075.90x = 3,107,093,809,152,632,291,328
  5. Step 5: Solve for x
    x = 3,107,093,809,152,632,291,328/47,051,008,075.90
  6. Step 6: Final answer
    x = 66,036,710,714.90

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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.