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Finding the Fourth Proportional to 253,477,125,698.40, 380,215,688,547.60 and 253,477,125,698.40

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Solution

The fourth proportional to 253,477,125,698.40, 380,215,688,547.60 and 253,477,125,698.40 is: 380,215,688,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,477,125,698.40 : 380,215,688,547.60 = 253,477,125,698.40 : x
  2. Step 2: Convert to fraction form
    253,477,125,698.40/380,215,688,547.60 = 253,477,125,698.40/x
  3. Step 3: Cross multiply
    253,477,125,698.40x = 380,215,688,547.60 × 253,477,125,698.40
  4. Step 4: Simplify right side
    253,477,125,698.40x = 96,375,979,878,483,708,870,656
  5. Step 5: Solve for x
    x = 96,375,979,878,483,708,870,656/253,477,125,698.40
  6. Step 6: Final answer
    x = 380,215,688,547.60

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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.