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Finding the Fourth Proportional to 10,106,778,854.90, 15,160,168,282.35 and 10,106,778,854.90

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Solution

The fourth proportional to 10,106,778,854.90, 15,160,168,282.35 and 10,106,778,854.90 is: 15,160,168,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,778,854.90 : 15,160,168,282.35 = 10,106,778,854.90 : x
  2. Step 2: Convert to fraction form
    10,106,778,854.90/15,160,168,282.35 = 10,106,778,854.90/x
  3. Step 3: Cross multiply
    10,106,778,854.90x = 15,160,168,282.35 × 10,106,778,854.90
  4. Step 4: Simplify right side
    10,106,778,854.90x = 153,220,468,232,780,644,352
  5. Step 5: Solve for x
    x = 153,220,468,232,780,644,352/10,106,778,854.90
  6. Step 6: Final answer
    x = 15,160,168,282.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.