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Finding the Fourth Proportional to 64,680,779,822.40, 97,021,169,733.60 and 64,680,779,822.40

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Solution

The fourth proportional to 64,680,779,822.40, 97,021,169,733.60 and 64,680,779,822.40 is: 97,021,169,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,680,779,822.40 : 97,021,169,733.60 = 64,680,779,822.40 : x
  2. Step 2: Convert to fraction form
    64,680,779,822.40/97,021,169,733.60 = 64,680,779,822.40/x
  3. Step 3: Cross multiply
    64,680,779,822.40x = 97,021,169,733.60 × 64,680,779,822.40
  4. Step 4: Simplify right side
    64,680,779,822.40x = 6,275,404,917,650,681,233,408
  5. Step 5: Solve for x
    x = 6,275,404,917,650,681,233,408/64,680,779,822.40
  6. Step 6: Final answer
    x = 97,021,169,733.60

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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.