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Finding the Fourth Proportional to 9,778,934,771.10, 14,668,402,156.65 and 9,778,934,771.10

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Solution

The fourth proportional to 9,778,934,771.10, 14,668,402,156.65 and 9,778,934,771.10 is: 14,668,402,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,934,771.10 : 14,668,402,156.65 = 9,778,934,771.10 : x
  2. Step 2: Convert to fraction form
    9,778,934,771.10/14,668,402,156.65 = 9,778,934,771.10/x
  3. Step 3: Cross multiply
    9,778,934,771.10x = 14,668,402,156.65 × 9,778,934,771.10
  4. Step 4: Simplify right side
    9,778,934,771.10x = 143,441,347,886,142,914,560
  5. Step 5: Solve for x
    x = 143,441,347,886,142,914,560/9,778,934,771.10
  6. Step 6: Final answer
    x = 14,668,402,156.65

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Double scale
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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.