Finding the Fourth Proportional to 2,208,564,399,802.60, 3,313,177,845,554.40 and 775,719,747,652.38
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Solution
The fourth proportional to 2,208,564,399,802.60, 3,313,177,845,554.40 and 775,719,747,652.38 is: 1,163,695,965,809.57
Step by Step Solution
- Step 1: Write the proportion equation
2,208,564,399,802.60 : 3,313,177,845,554.40 = 775,719,747,652.38 : x - Step 2: Convert to fraction form
2,208,564,399,802.60/3,313,177,845,554.40 = 775,719,747,652.38/x - Step 3: Cross multiply
2,208,564,399,802.60x = 3,313,177,845,554.40 × 775,719,747,652.38 - Step 4: Simplify right side
2,208,564,399,802.60x = 2,570,097,482,280,915,072,712,704 - Step 5: Solve for x
x = 2,570,097,482,280,915,072,712,704/2,208,564,399,802.60 - Step 6: Final answer
x = 1,163,695,965,809.57
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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.