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Finding the Fourth Proportional to 788,461,347.70, 1,182,692,021.55 and 788,461,347.70

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Solution

The fourth proportional to 788,461,347.70, 1,182,692,021.55 and 788,461,347.70 is: 1,182,692,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,461,347.70 : 1,182,692,021.55 = 788,461,347.70 : x
  2. Step 2: Convert to fraction form
    788,461,347.70/1,182,692,021.55 = 788,461,347.70/x
  3. Step 3: Cross multiply
    788,461,347.70x = 1,182,692,021.55 × 788,461,347.70
  4. Step 4: Simplify right side
    788,461,347.70x = 932,506,945,225,350,400
  5. Step 5: Solve for x
    x = 932,506,945,225,350,400/788,461,347.70
  6. Step 6: Final answer
    x = 1,182,692,021.55

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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.