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Finding the Fourth Proportional to 463,574,208,021.40, 695,361,312,032.08 and 463,574,208,021.40

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Solution

The fourth proportional to 463,574,208,021.40, 695,361,312,032.08 and 463,574,208,021.40 is: 695,361,312,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,574,208,021.40 : 695,361,312,032.08 = 463,574,208,021.40 : x
  2. Step 2: Convert to fraction form
    463,574,208,021.40/695,361,312,032.08 = 463,574,208,021.40/x
  3. Step 3: Cross multiply
    463,574,208,021.40x = 695,361,312,032.08 × 463,574,208,021.40
  4. Step 4: Simplify right side
    463,574,208,021.40x = 322,351,569,513,993,088,270,336
  5. Step 5: Solve for x
    x = 322,351,569,513,993,088,270,336/463,574,208,021.40
  6. Step 6: Final answer
    x = 695,361,312,032.08

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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.