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Finding the Fourth Proportional to 45,980,909,853.10, 68,971,364,779.65 and 45,980,909,853.10

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Solution

The fourth proportional to 45,980,909,853.10, 68,971,364,779.65 and 45,980,909,853.10 is: 68,971,364,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,980,909,853.10 : 68,971,364,779.65 = 45,980,909,853.10 : x
  2. Step 2: Convert to fraction form
    45,980,909,853.10/68,971,364,779.65 = 45,980,909,853.10/x
  3. Step 3: Cross multiply
    45,980,909,853.10x = 68,971,364,779.65 × 45,980,909,853.10
  4. Step 4: Simplify right side
    45,980,909,853.10x = 3,171,366,106,378,362,421,248
  5. Step 5: Solve for x
    x = 3,171,366,106,378,362,421,248/45,980,909,853.10
  6. Step 6: Final answer
    x = 68,971,364,779.65

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Double scale
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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.