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Finding the Fourth Proportional to 30,698,103,614.60, 46,047,155,421.90 and 30,698,103,614.60

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Solution

The fourth proportional to 30,698,103,614.60, 46,047,155,421.90 and 30,698,103,614.60 is: 46,047,155,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698,103,614.60 : 46,047,155,421.90 = 30,698,103,614.60 : x
  2. Step 2: Convert to fraction form
    30,698,103,614.60/46,047,155,421.90 = 30,698,103,614.60/x
  3. Step 3: Cross multiply
    30,698,103,614.60x = 46,047,155,421.90 × 30,698,103,614.60
  4. Step 4: Simplify right side
    30,698,103,614.60x = 1,413,560,348,299,076,304,896
  5. Step 5: Solve for x
    x = 1,413,560,348,299,076,304,896/30,698,103,614.60
  6. Step 6: Final answer
    x = 46,047,155,421.90

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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.