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Finding the Fourth Proportional to 475,398,938,404.10, 713,098,407,606.05 and 475,398,938,404.10

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Solution

The fourth proportional to 475,398,938,404.10, 713,098,407,606.05 and 475,398,938,404.10 is: 713,098,407,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,398,938,404.10 : 713,098,407,606.05 = 475,398,938,404.10 : x
  2. Step 2: Convert to fraction form
    475,398,938,404.10/713,098,407,606.05 = 475,398,938,404.10/x
  3. Step 3: Cross multiply
    475,398,938,404.10x = 713,098,407,606.05 × 475,398,938,404.10
  4. Step 4: Simplify right side
    475,398,938,404.10x = 339,006,225,953,570,372,452,352
  5. Step 5: Solve for x
    x = 339,006,225,953,570,372,452,352/475,398,938,404.10
  6. Step 6: Final answer
    x = 713,098,407,606.05

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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.