Finding the Fourth Proportional to 2,272,176,367,477.50, 3,135,605,077,644.90 and 1,230,495,290,267.40
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Solution
The fourth proportional to 2,272,176,367,477.50, 3,135,605,077,644.90 and 1,230,495,290,267.40 is: 1,698,084,416,071.99
Step by Step Solution
- Step 1: Write the proportion equation
2,272,176,367,477.50 : 3,135,605,077,644.90 = 1,230,495,290,267.40 : x - Step 2: Convert to fraction form
2,272,176,367,477.50/3,135,605,077,644.90 = 1,230,495,290,267.40/x - Step 3: Cross multiply
2,272,176,367,477.50x = 3,135,605,077,644.90 × 1,230,495,290,267.40 - Step 4: Simplify right side
2,272,176,367,477.50x = 3,858,347,280,180,594,165,678,080 - Step 5: Solve for x
x = 3,858,347,280,180,594,165,678,080/2,272,176,367,477.50 - Step 6: Final answer
x = 1,698,084,416,071.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.