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Finding the Fourth Proportional to 47,051,008,098.40, 66,036,710,746.40 and 47,051,008,098.40

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Solution

The fourth proportional to 47,051,008,098.40, 66,036,710,746.40 and 47,051,008,098.40 is: 66,036,710,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,051,008,098.40 : 66,036,710,746.40 = 47,051,008,098.40 : x
  2. Step 2: Convert to fraction form
    47,051,008,098.40/66,036,710,746.40 = 47,051,008,098.40/x
  3. Step 3: Cross multiply
    47,051,008,098.40x = 66,036,710,746.40 × 47,051,008,098.40
  4. Step 4: Simplify right side
    47,051,008,098.40x = 3,107,093,812,120,564,793,344
  5. Step 5: Solve for x
    x = 3,107,093,812,120,564,793,344/47,051,008,098.40
  6. Step 6: Final answer
    x = 66,036,710,746.40

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1.5x scale

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.