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Finding the Fourth Proportional to 978,775,402,235.40, 1,468,163,103,353.10 and 978,775,402,235.40

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Solution

The fourth proportional to 978,775,402,235.40, 1,468,163,103,353.10 and 978,775,402,235.40 is: 1,468,163,103,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,775,402,235.40 : 1,468,163,103,353.10 = 978,775,402,235.40 : x
  2. Step 2: Convert to fraction form
    978,775,402,235.40/1,468,163,103,353.10 = 978,775,402,235.40/x
  3. Step 3: Cross multiply
    978,775,402,235.40x = 1,468,163,103,353.10 × 978,775,402,235.40
  4. Step 4: Simplify right side
    978,775,402,235.40x = 1,437,001,932,031,603,674,972,160
  5. Step 5: Solve for x
    x = 1,437,001,932,031,603,674,972,160/978,775,402,235.40
  6. Step 6: Final answer
    x = 1,468,163,103,353.10

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1.5x scale

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.